1. copyright©amberpasillas2010

2. The first thing to remember is “ of ” means multiply in mathematics. of = x

3. copyright©amberpasillas2010 4 3 7 2 = 28 6 6)6) 4 of x 24 4 4 4 6 ÷ ÷ 2 2 = 2 3 4 4 6

4. copyright©amberpasillas2010 9 2 3 4 = 27 8 8)8) 3 of x 24 3 3 8

5. copyright©amberpasillas2010 8 2 7 3 = 56 6 6)6) 9 of x 54 2 9 2 6 ÷ ÷ 2 2 = 1 3 9 2 6

6. copyright©amberpasillas2010 3 4 4 2 = 12 8 8)8) 1 of x 8 4 1 4 8 ÷ ÷ 4 4 = 1 2 1 4 8 Super job !

7. copyright©amberpasillas2010 A mixed number has a part that is a whole number and a part that is a fraction. = 1 3 4

8. copyright©amberpasillas2010 1) Multiply the whole number times the denominator. 2) Add your answer to the numerator. 3) Put your new number over the denominator. 5 1 3 x + = 16 3 To Change A Mixed Number To An Improper Fraction

9. copyright©amberpasillas2010 Here is an example of when you would multiply a mixed number times a fraction. In a car race, the track is 3 miles long. If the car breaks down way through the course, how far did you go?

10. copyright©amberpasillas2010 Step 1 - When you see a fraction problem you know when you read “ of ” in the problem you multiply. of x 1 2 4 9 3

11. copyright©amberpasillas2010 Step 2 – Change the mixed number to an improper fraction. x 1 2 4 9 3 x + 27 27 + 4 31 9

12. copyright©amberpasillas2010 Step 3 – Multiply the numerators straight across. x 1 2 31 9 =

13. copyright©amberpasillas2010 Step 4 – Multiply the denominators straight across. x 1 2 31 9 = 18

14. copyright©amberpasillas2010 Step 5 – Simplify your answer. In this case change the improper fraction to a mixed number. x 1 2 31 9 = 18 18 ) 31 1 18 13 18

15. copyright©amberpasillas2010 1. Change the mixed numbers to improper fractions. 2. Multiply the numerators straight across. 3. Multiply the denominators straight across. 4. Simplify or reduce if possible. When multiplying fractions, you DO NOT need a common denominator.

16. copyright©amberpasillas2010 To Change A Mixed Number To An Improper Fraction 1) Multiply the whole number times the denominator. 2) Add your answer to the numerator. 3) Put your new number over the denominator. 4 1 2 x + = 9 2

17. copyright©amberpasillas2010 1 4 = 4 7 x 35 35+4 5 + 39 7 28 28 ) 39 1 11 28 IMPROPER

18. copyright©amberpasillas2010 4 5 = 3 4 x 24 24+3 6 + 27 4 108 20 20 ) 108 5 8 20 IMPROPER 5 ÷ ÷ 4 4 = 2 5

19. copyright©amberpasillas2010 2 5 = 1 4 x 24 24+1 6 + 25 4 50 20 20 ) 50 2 10 20 2 ÷ ÷ 10 = 1 2 Super job !

20. copyright©amberpasillas2010 REMEMBER: To Always Show Your Work and The Giant One! Take out your study guide!!!

21. 1. Change the mixed numbers to improper fractions. 2. Multiply the numerators straight across. 3. Multiply the denominators straight across. 4. Simplify or reduce if possible. #16 You DO NOT need common denominators

22. copyright©amberpasillas2010 1 4 = 4 7 x 35 35+4 5 + 39 7 28 28 ) 39 1 11 28 #17 IMPROPER