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4. Example 1-5b Objective Write ratios as fractions and determine whether two ratios are equivalent

5. Example 1-5b Vocabulary Equivalent ratios Two ratios that have the same value

6. Example 1-5b Vocabulary Ratio A comparison of two numbers by division

7. Lesson 1 Contents Example 1Write Ratios in Simplest Form Example 2Write Ratios in Simplest Form Example 3Write a Ratio by Converting Units Example 4Compare Ratios

8. Example 1-1a Write the ratio 30 to 9 as a fraction in simplest form. Answer: Write the ratio as a fraction. Find GCF of 30 and 9 to simplify Note: Ratio is always in fraction form 1/4 GCF = 3  3 Divide GCF into numerator and denominator

9. Example 1-1b Write the ratio 35 to 20 as a fraction in simplest form. Answer: 1/4

10. Example 1-2a Write the ratio 4:24 as a fraction in simplest form. Answer: Write the ratio as a fraction. 2/4 Find GCF of 4 and 24 to simplify GCF = 4 Divide GCF into numerator and denominator  4

11. Example 1-2b Write the ratio 9:36 as a fraction in simplest form. Answer: 2/4

12. Example 1-3a Write the ratio 3 feet to 8 inches as a fraction in simplest form. 3/4 Write the ratio as a fraction. Must have same units so convert to smallest unit which is inches 3 feet = inches Bring down 8 inches

13. Example 1-3a Cancel out inches Answer: The ratio is 3/4 Find GCF of 36 and 8 to simplify GCF = 4 Divide GCF into numerator and denominator  4

14. Example 1-3b Write the ratio 4 feet to 20 inches as a fraction in simplest form. Answer: 3/4

15. Example 1-4a Determine whether 12:15 and 32:40 are equivalent. Write each ratio as a fraction. = ? Cross multiply Multiply both sides of = sign 480 = 480 The ratios are equivalent Answer: Write a proportion with the ratios 12(40) = 15(32) The value is the same on each side of the = sign 4/4

16. Example 1-4b Determine whether 8:24 and 14:42 are equivalent. Answer: The ratios are equivalent 4/4

17. End of Lesson 1 Assignment Lesson 7:1Ratios14 - 29 All

18. Example 1-5a POOLS It is recommended that no more than one person be allowed into the shallow end of an outdoor public pool for every 15 square feet of surface area. If a local pool’s shallow end has a surface area of 1,800 square feet, are the lifeguards correct to allow 120 people into that part of the pool? 1 120 15 1800 = ? Write 2 ratios using the information in the problem Make a proportion

19. Example 1-5a POOLS It is recommended that no more than one person be allowed into the shallow end of an outdoor public pool for every 15 square feet of surface area. If a local pool’s shallow end has a surface area of 1,800 square feet, are the lifeguards correct to allow 120 people into that part of the pool? 1 120 15 1800 = ? Cross multiply 1(1800) = 15(120) Multiply both sides of = sign 1800 = 1800 Answer: The ratios are equivalent 1(1800) = 15(120)

20. Example 1-5b WALLPAPER The instructions on a particular brand of wallpaper suggest using 1 quart of wallpaper paste for every 30 square feet of wallpaper hung. Bill purchases 8 quarts of wallpaper paste to complete a job that requires hanging 256 square feet of wallpaper. Is Bill using the proper amount of paste? Answer: no, because the ratios are not equivalent *