1. Multiplication of Fractions with Mixed Numbers

2. Copyright © 2000 by Monica Yuskaitis How to Find a Fraction of a Mixed Number The first thing to remember is “of” means multiply in mathematics. of = x

3. Copyright © 2000 by Monica Yuskaitis 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

4. Copyright © 2000 by Monica Yuskaitis 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

5. Copyright © 2000 by Monica Yuskaitis How to Find a Fraction of a Mixed Number Step 3 – Multiply the numerators straight across. x 1 2 31 9 =

6. Copyright © 2000 by Monica Yuskaitis How to Find a Fraction of a Mixed Number Step 4 – Multiply the denominators straight across. x 1 2 31 9 = 18

7. Copyright © 2000 by Monica Yuskaitis 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

8. Copyright © 2000 by Monica Yuskaitis Multiply and Simplify 1 4 = x 4 7 x 35 35 + 4 5 + 39 7 28 28 ) 39 1 11 28

9. Copyright © 2000 by Monica Yuskaitis 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

10. Copyright © 2000 by Monica Yuskaitis 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

11. Copyright © 2000 by Monica Yuskaitis 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 doing great !