1. Multiplying and Dividing of Fractions

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

3. How to Find a Fraction of a Fraction Step 1 – Read the problem. of x 1 2 4 9

4. How to Find a Fraction of a Fraction Step 2 – Multiply your numerators straight across. x 4 9 1 2 = 4

5. How to Find a Fraction of a Fraction Step 3 – Then multiply your denominators straight across. x 4 9 1 2 = 4 18

6. How to Find the Fraction of a Fraction Step 4 – Simplify your answer. In this case we reduce. x 4 9 1 2 = 4 18 ÷ ÷ 2 2 = 2 9

7. Multiply and Simplify 9 5 1 6 = 9 3010 3 of x ÷ ÷ 3 3 =

8. Multiply and Simplify 3 4 8 9 = 24 363 2 of x ÷ ÷ 12 =

9. Multiply and Simplify 4 3 7 2 = 28 6 6)6) 4 of x 24 4 4 4 6 ÷ ÷ 2 2 = 2 3 4

10. Multiply and Simplify 9 2 3 4 = 27 8 8)8) 3 of x 24 3 3 8

11. Multiply and Simplify 8 2 7 3 = 56 6 6)6) 9 of x 54 2 2 6 9 2 6 ÷ 2 2 = 9 1 3 ÷

12. How to Find a Fraction of a Mixed Number 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

13. How to Find a Fraction of a Mixed Number Step 2 – Change the mixed number to an improper fraction. x 1 2 4 9 3 x + 27 27 + 4 31 9

14. How to Find a Fraction of a Mixed Number Step 3 – Multiply the numerators straight across. x 1 2 31 9 =

15. How to Find a Fraction of a Mixed Number Step 4 – Multiply the denominators straight across. x 1 2 31 9 = 18

16. How to Find a Fraction of a Mixed Number 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

17. Multiply and Simplify 1 4 = x 4 7 x 35 35 + 4 5 + 39 7 28 28 ) 39 1 11 28

18. Multiply and Simplify 4 7 = x 1 9 x 27 27 + 1 3 + 28 9 112 63 63 ) 112 1 49 63 ÷ ÷ 7 7 = 7 9

19. Multiply and Simplify 4 5 = x 3 4 x 24 24 + 3 6 + 27 4 108 20 20 ) 108 5 8 20 ÷ ÷ 4 4 = 2 5

20. Multiply and Simplify 2 5 = x 1 4 x 24 24 + 1 6 + 25 4 50 20 20 ) 50 2 10 20 ÷ ÷ 10 = 1 2 You’re shining!

21. Change any mixed numbers into improper fractions. Change any whole numbers into improper fractions by putting 1 under the whole number. Cross cancel wherever possible. Multiply horizontally. Reduce if necessary. EXAMPLES

22. To find the reciprocal of a fractions, flip it! You need the reciprocal when dividing fractions! EXAMPLES: 2 3 3 2 2½ = 5 2 2 5

23. Change any mixed numbers into improper fractions. Change any whole numbers into improper fractions by putting 1 under the whole number. KEEP – SWITCH - FLIP Cross cancel wherever possible. Multiply horizontally. Reduce if necessary. EXAMPLES

24. Examples of multiplying fractions 3 8 4 9 X 3 8 4 9 X 1 1 2323 1 2 1 3 X 1X 2 = 2 1 X 3 = 3 Another Example

25. Examples of multiplying fractions 2 ½ X ¼ 51 24 X 5858

26. Examples of dividing fractions 5 10 9 12 KEEP SWITCH FLIP 5 12 9 10 X 1313 4242 1 4 3 2 x 4646 2323 Another Example

27. Examples of dividing fractions KEEP SWITCH FLIP 3 ½ 2 ¼ 7 9 2 4 7 4 2 9 x 28 18 1 5959 1 10 18

28. CHECK ANSWERS

29. Back to Quiz

30. 1. 6 divided by 3 ½ = 2. 4/5 divided by 2/5 = 3. 1 ½ divided by 3 ¾ = 4. 3 ½ divided by 1 ¾ = 5. 2 ½ divided by 2 ½ = 6. 5 1/3 divided by 4/9 = Check your answers

31. 1. 6 divided by 3 ½ = 1 5/7 2. 4/5 divided by 2/5 = 2 3. 1 ½ divided by 3 ¾ = 2/5 4. 3 ½ divided by 1 ¾ = 2 5. 2 ½ divided by 2 ½ = 1 6. 5 1/3 divided by 4/9 = 12 Back to Quiz