1. Practical Math Applications © Cengage Learning/South-Western Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Fractions 2.1Fractions and Mixed Numbers 2.2 Add and Subtract Fractions and Mixed Numbers 2.3 Multiply and Divide Fractions and Mixed Numbers Slide 1 2

2. Practical Math Applications © Cengage Learning/South-Western Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. 2.1 Fractions and Mixed Numbers 1. Identify terms used with fractions. 2. Distinguish between fractions and mixed numbers. 3. Convert improper fractions to whole numbers. 4. Convert improper fractions to mixed numbers. Slide 2 OBJECTIVES

3. Practical Math Applications © Cengage Learning/South-Western Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. 2.1 Fractions and Mixed Numbers 5. Convert mixed numbers to improper fractions. 6. Reduce fractions to lowest terms. 7. Raise fractions to higher terms. 8. Convert fractions to decimals. 9. Convert decimals to fractions. Slide 3 OBJECTIVES

4. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. fraction numerator denominator proper fraction improper fraction Slide 4 Key Terms mixed number lowest terms greatest common divisor equivalent fraction repeating decimal

5. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Convert to a whole number. STEPS Divide 180 by 30. Slide 5 Objective 2 Write a percent as a decimal. O BJECTIVE 3 Convert improper fractions to whole numbers. Example

6. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Convert to a mixed number. STEPS Divide the numerator by the denominator. Place the remainder over the divisor. Write the mixed number as. Slide 6 Objective 2 Write a percent as a decimal. O BJECTIVE 4 Convert improper fractions to mixed numbers. Example

7. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Convert to a mixed number. STEPS Slide 7 Objective 2 Write a percent as a decimal. O BJECTIVE 4 Convert improper fractions to mixed numbers. Example

8. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Convert to an improper fraction. STEPS Multiply the denominator by the whole number. 4 × 9 = 36 Add the product and the numerator. 36 + 1 = 37 Place the sum over the original denominator. Slide 8 Objective 2 Write a percent as a decimal. O BJECTIVE 5 Convert mixed numbers to improper fractions. Example

9. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Convert the mixed number to an improper fraction. STEPS Slide 9 Objective 2 Write a percent as a decimal. O BJECTIVE 5 Convert mixed numbers to improper fractions. Example

10. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Convert the mixed number to an improper fraction. STEPS Slide 10 Objective 2 Write a percent as a decimal. O BJECTIVE 5 Convert mixed numbers to improper fractions. Example

11. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Reduce to lowest terms. STEPS Slide 11 Objective 2 Write a percent as a decimal. O BJECTIVE 6 Reduce fractions to lowest terms. Example

12. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Write the fraction in lowest terms. STEPS Both 135 and 275 can be divided by 5. Slide 12 Objective 2 Write a percent as a decimal. O BJECTIVE 6 Reduce fractions to lowest terms. Example

13. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Write the fraction in lowest terms. STEPS Divide both 80 and 270 by 10. Slide 13 Objective 2 Write a percent as a decimal. O BJECTIVE 6 Reduce fractions to lowest terms. Example

14. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Reduce to lowest terms using the greatest-common- divisor method. STEPS Divide the denominator by the numerator. Divide the original divisor by the remainder. Continue dividing until there is no remainder. Slide 14 Objective 2 Write a percent as a decimal. O BJECTIVE 6 Reduce fractions to lowest terms. Example

15. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Reduce to lowest terms using the greatest-common- divisor method. STEPS The last divisor, 4, is the greatest common divisor and is used to divide 268 and 460. Slide 15 Objective 2 Write a percent as a decimal. O BJECTIVE 6 Reduce fractions to lowest terms. Example

16. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Show that the fraction is in lowest terms. STEPS The last divisor, 1, is the greatest common divisor. Slide 16 Objective 2 Write a percent as a decimal. O BJECTIVE 6 Reduce fractions to lowest terms. Example

17. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Raise to a fraction with a denominator of 12. STEPS Divide the new denominator by the original denominator. 12 ÷ 3 = 4 Multiply both the numerator and denominator by the quotient. 2 × 4 = 8 and 3 × 4 = 12 Write the new numerator over the desired denominator. Slide 17 Objective 2 Write a percent as a decimal. O BJECTIVE 7 Raise fractions to higher terms. Example

18. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Write the fraction as a fraction with denominator 45. STEPS Slide 18 Objective 2 Write a percent as a decimal. O BJECTIVE 7 Raise fractions to higher terms. Example

19. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Write the fraction as a fraction with denominator 72. STEPS Slide 19 Objective 2 Write a percent as a decimal. O BJECTIVE 7 Raise fractions to higher terms. Example

20. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Convert the fraction to a decimal. STEPS Slide 20 Objective 2 Write a percent as a decimal. O BJECTIVE 8 Convert fractions to decimals. Example

21. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Convert the fraction to a decimal. STEPS Slide 21 Objective 2 Write a percent as a decimal. O BJECTIVE 8 Convert fractions to decimals. Example

22. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Below is a chart of decimal equivalents. Slide 22 Objective 2 Write a percent as a decimal. O BJECTIVE 8 Convert fractions to decimals. Example

23. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Convert to a decimal. STEPS Convert the fractional part by dividing the numerator by the denominator. Write the whole number 5 with the decimal equivalent 0.625. 5.625 Slide 23 Objective 2 Write a percent as a decimal. O BJECTIVE 8 Convert fractions to decimals. Example

24. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Convert to a decimal. STEPS Divide 1 by 6. Slide 24 Objective 2 Write a percent as a decimal. O BJECTIVE 8 Convert fractions to decimals. Example

25. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Convert to a decimal. STEPS Divide 1 by 3. Slide 25 Objective 2 Write a percent as a decimal. O BJECTIVE 8 Convert fractions to decimals. Example

26. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Convert to a decimal. STEPS Convert the fractional part by dividing the numerator by the denominator. Write the whole number 8 with the decimal equivalent 0.42. 8.42 Slide 26 Objective 2 Write a percent as a decimal. O BJECTIVE 8 Convert fractions to decimals. Example

27. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Convert 1.35 to a fraction. STEPS Write the decimal in its fractional form. Reduce to lowest terms. The fractional equivalent to 1.35 is. Slide 27 Objective 2 Write a percent as a decimal. O BJECTIVE 9 Convert decimals to fractions. Example

28. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Convert 0.45 to a fraction. STEPS Write the decimal in its fractional form. Reduce to lowest terms. The fractional equivalent to 0.45 is. Slide 28 Objective 2 Write a percent as a decimal. O BJECTIVE 9 Convert decimals to fractions. Example

29. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Convert 0.105 to a fraction. STEPS Write the decimal in its fractional form. Reduce to lowest terms. The fractional equivalent to 0.105 is. Slide 29 Objective 2 Write a percent as a decimal. O BJECTIVE 9 Convert decimals to fractions. Example

30. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Convert 2.583 to a fraction. STEPS Write the decimal in its fractional form. The fractional equivalent to 0.105 is. Slide 30 Objective 2 Write a percent as a decimal. O BJECTIVE 9 Convert decimals to fractions. Example

31. Practical Math Applications © Cengage Learning/South-Western Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. 2.2 Add/Subtract Fractions and Mixed Numbers 1. Identify terms used with adding and subtracting fractions. 2. Add and subtract like fractions. 3. Find the least common denominator. 4. Add and subtract unlike fractions. 5. Add mixed numbers. 6. Subtract mixed numbers. Slide 31 OBJECTIVES

32. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. like fractions unlike fractions common denominator least common denominator (LCD) inspection method price number method prime number prime factorization Slide 32 Key Terms

33. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Add. STEPS Add the numerators. 5 + 2 = 7 Write the result over the common denominator. Slide 33 Objective 2 Write a percent as a decimal. O BJECTIVE 2 Add and subtract like fractions. Example

34. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Subtract. STEPS Subtract the numerators. 11 – 7 = 4 Write the result over the common denominator. Reduce. Slide 34 Objective 2 Write a percent as a decimal. O BJECTIVE 2 Add and subtract like fractions. Example

35. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Add. STEPS Add the fractions. Convert the sum to a mixed number and then a decimal. Slide 35 Objective 2 Write a percent as a decimal. O BJECTIVE 2 Add and subtract like fractions. Example

36. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Add. STEPS Add the fractions. Convert the sum to a mixed number and then a decimal. Slide 36 Objective 2 Write a percent as a decimal. O BJECTIVE 2 Add and subtract like fractions. Example

37. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Find the least common denominator. STEPS By simple observation, the smallest common number that all the unlike denominators 2, 4, and 3 will evenly divide is 12. Slide 37 Objective 2 Write a percent as a decimal. O BJECTIVE 3 Find the least common denominator. Example

38. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Find the least common denominator. STEPS By simple observation, the least common number is 12 because 12 is the smallest number the denominators 4, 3, and 12 will evenly divide. Slide 38 Objective 2 Write a percent as a decimal. O BJECTIVE 3 Find the least common denominator. Example

39. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Find the least common denominator of and. STEPS Divide each denominator by a prime number common to two or more of the numbers. Write the quotient above each denominator. Slide 39 Objective 2 Write a percent as a decimal. O BJECTIVE 3 Find the least common denominator. Example

40. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Find the least common denominator of and. STEPS Each of the new quotients, 4, 6, and 10, can still be divided by 2. Therefore, continue the division process using the same prime number, 2. Slide 40 Objective 2 Write a percent as a decimal. O BJECTIVE 3 Find the least common denominator. Example

41. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Find the least common denominator of and. STEPS Continue to divide by the prime number 2. The new quotient 2 can still be divided by the prime number 2, but the quotients 3 and 5 cannot be evenly divided by 2. Because 3 and 5 cannot be evenly divided by 2, write these amounts in the row of answers. Slide 41 Objective 2 Write a percent as a decimal. O BJECTIVE 3 Find the least common denominator. Example

42. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Find the least common denominator of and. STEPS Because the prime number 2 will not evenly divide these last two quotients in the row, try the next prime number, which is 3. Because 1 and 5 are not divisible by 3, write these amounts in the row of answers. Slide 42 Objective 2 Write a percent as a decimal. O BJECTIVE 3 Find the least common denominator. Example

43. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Find the least common denominator of and. STEPS Because the prime number 3 will not evenly divide these last quotients, try the next prime number, 5. The last quotient can be divided by 5. Divide until all quotients are 1. Slide 43 Objective 2 Write a percent as a decimal. O BJECTIVE 3 Find the least common denominator. Example

44. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Find the least common denominator of and. STEPS Because no prime number can evenly divide these last quotients, determine the least common denominator by multiplying the five divisors. 2 × 2 × 2 × 3 × 5 = 120 120 is the least common denominator. Slide 44 Objective 2 Write a percent as a decimal. O BJECTIVE 3 Find the least common denominator. Example

45. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Add. STEPS Slide 45 Objective 2 Write a percent as a decimal. O BJECTIVE 4 Add and subtract unlike fractions. Example

46. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Add and subtract. STEPS Find the least common denominator for 18, 20, and 24. 2 × 2 × 2 × 3 × 3 × 5 = 360 Slide 46 Objective 2 Write a percent as a decimal. O BJECTIVE 4 Add and subtract unlike fractions. Example

47. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Add and subtract. STEPS Raise each fraction to 360ths, and then add or subtract. Slide 47 Objective 2 Write a percent as a decimal. O BJECTIVE 4 Add and subtract unlike fractions. Example

48. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Suppose you are a sales clerk in a fabric store who cut two pieces of trimming for a customer. One piece measured inches, and the other measured inches. Add the two pieces together to get the total measurement for the order. STEPS Slide 48 Objective 2 Write a percent as a decimal. O BJECTIVE 5 Add mixed numbers. Example

49. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Add. STEPS Add the fractional parts and convert the improper fraction to a mixed number. Reduce to lowest terms, if necessary. Add the whole numbers. 11 + 3 = 14 Add the mixed number and the sum of the whole numbers. Slide 49 Objective 2 Write a percent as a decimal. O BJECTIVE 5 Add mixed numbers. Example

50. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Add. STEPS Determine the least common denominator. 10 Add the fractional parts. Add the whole numbers. 13 + 2 = 15 Add the whole numbers and the fractional parts. Slide 50 Objective 2 Write a percent as a decimal. O BJECTIVE 5 Add mixed numbers. Example

51. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Subtract. STEPS Slide 51 Objective 2 Write a percent as a decimal. O BJECTIVE 6 Subtract mixed numbers. Example

52. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Subtract. STEPS Slide 52 Objective 2 Write a percent as a decimal. O BJECTIVE 6 Subtract mixed numbers. Example

53. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Subtract using borrowing. STEPS To subtract from the whole number 9, borrow or subtract 1 from the 9, the whole number in the minuend, and express it in sixths, as in. The 9 reduced by 1 is 8 because you borrowed 1 from it. Place the 8 beside the. Then subtract the fractions. Slide 53 Objective 2 Write a percent as a decimal. O BJECTIVE 6 Subtract mixed numbers. Example

54. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Subtract using borrowing. STEPS Determine a common denominator and change the fractions to equivalent fractions. Subtract the fractional parts and the whole numbers. Slide 54 Objective 2 Write a percent as a decimal. O BJECTIVE 6 Subtract mixed numbers. Example

55. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Subtract using borrowing. STEPS Borrow 1 from 3, leaving. Then subtract from. Slide 55 Objective 2 Write a percent as a decimal. O BJECTIVE 6 Subtract mixed numbers. Example

56. Practical Math Applications © Cengage Learning/South-Western Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. 2.3 Multiply/Divide Fractions and Mixed Numbers 1. Multiply fractions. 2. Use cancellation. 3. Multiply whole numbers, fractions, and mixed numbers. 4. Divide fractions. 5. Divide whole numbers, fractions, and mixed numbers. Slide 56 OBJECTIVES

57. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. cancellation Slide 57 Key Terms

58. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Multiply. STEPS Multiply the numerators of the fractions. 5 × 3 × 1 = 15 Multiply the denominators of the fractions. 8 × 5 × 3 = 120 Rewrite the fraction and reduce. Slide 58 Objective 2 Write a percent as a decimal. O BJECTIVE 1 Multiply fractions. Example

59. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Multiply. STEPS Determine the common factor that will evenly divide any one of the numerators and any one of the denominators. Cancel the numerator and denominator. Slide 59 Objective 2 Write a percent as a decimal. O BJECTIVE 2 Use cancellation. Example

60. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Multiply. STEPS Cancel. Multiply the numerators and denominators. 1 × 1 × 1 = 11 × 3 × 4 = 12 Write the fraction. Slide 60 Objective 2 Write a percent as a decimal. O BJECTIVE 2 Use cancellation. Example

61. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Multiply. STEPS Convert to improper fractions and cancel. Multiply the numerators and denominators. Convert to a mixed number and reduce. Slide 61 Objective 2 Write a percent as a decimal. O BJECTIVE 3 Multiply whole numbers, fractions, and mixed numbers. Example

62. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Phillip Fontano earns $2,345 a month. He spends one-fifth of his monthly salary for rent. How much does he pay each month for rent. STEPS When a problem uses the word of, as in “He spends one-fifth of his monthly salary,” the word of means to multiply. Slide 62 Objective 2 Write a percent as a decimal. O BJECTIVE 3 Multiply whole numbers, fractions, and mixed numbers. Example

63. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Multiply. STEPS Convert the mixed numbers to improper fractions. Rewrite the problem and cancel if possible. Multiply. Convert the improper fraction to a mixed number. Slide 63 Objective 2 Write a percent as a decimal. O BJECTIVE 3 Multiply whole numbers, fractions, and mixed numbers. Example

64. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Multiply. STEPS Convert whole and mixed numbers to improper fractions. Rewrite the problem and cancel if possible. Multiply. Convert the improper fraction to a mixed number. Slide 64 Objective 2 Write a percent as a decimal. O BJECTIVE 3 Multiply whole numbers, fractions, and mixed numbers. Example

65. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Divide. STEPS Invert the divisor and multiply. Convert the improper fraction to a mixed number and reduce. Slide 65 Objective 2 Write a percent as a decimal. O BJECTIVE 4 Divide fractions. Example

66. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Divide. STEPS Write the whole number as a fraction and invert the divisor. Cancel, if necessary, and multiply. Slide 66 Objective 2 Write a percent as a decimal. O BJECTIVE 5 Divide whole numbers, fractions, and mixed numbers. Example

67. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Divide. STEPS Convert each mixed number to an improper fraction. Invert the divisor, cancel, if necessary, and multiply. Slide 67 Objective 2 Write a percent as a decimal. O BJECTIVE 5 Divide whole numbers, fractions, and mixed numbers. Example

68. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Divide. STEPS Convert whole and mixed numbers to improper fractions. Invert the divisor and multiply. Convert improper fraction to a mixed number and reduce. Slide 68 Objective 2 Write a percent as a decimal. O BJECTIVE 5 Divide whole numbers, fractions, and mixed numbers. Example

69. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. Divide. STEPS Convert whole and mixed numbers to improper fractions. Invert the divisor, multiply, and reduce, if necessary. Slide 69 Objective 2 Write a percent as a decimal. O BJECTIVE 5 Divide whole numbers, fractions, and mixed numbers. Example

70. Practical Math Applications © 2011 Cengage Learning. All rights reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. A clothing shop makes vests that use yards of material. Find the number of vests that can be cut from a piece of linen fabric that is 8 yards in length. STEPS Slide 70 Objective 2 Write a percent as a decimal. O BJECTIVE 5 Divide whole numbers, fractions, and mixed numbers. Example