Multiplying Fractions
- 2. Times You Would Multiply a Fraction Times a Fraction • Your family eats 1/8 of 1/2 of a left over wedding cake. 1/8 of 1/2 or 1/8 x 1/2
- 3. Times You Would Multiply a Fraction Times a Fraction • Jose had already read 1/2 of his novel. Today he read 1/12 of the 1/2 left. How much of the book has he read? 1/12 of 1/2 or 1/12 x 1/2
- 4. Multiplying Fractions Conceptual Understanding • When you multiply two fractions that are between 0 and 1 the product is smaller than both fractions. ½ x ¾ = 3/8 Look at the diagram on the next slide to understand why.
- 5. Multiplying Fractions Conceptual Understanding ½ x ¾ = 3/8 ¼ ¼ ¼ ¼ 1/8 1/8 1/8
- 6. How to Find a Fraction of a Fraction • The first thing to remember is “of” means multiply in mathematics. of = x
- 7. How to Find a Fraction of a Fraction • Step 1 - When you see a fraction problem you know when you read “of” in the problem you multiply. ofx1 2 4 9
- 8. How to Find a Fraction of a Fraction • Step 2 – Multiply your numerators straight across. x 4 9 1 2 = 4
- 9. How to Find a Fraction of a Fraction • Step 3 – Then multiply your denominators straight across. x 4 9 1 2 = 4 18
- 10. 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
- 11. Multiply and Simplify 9 5 1 6 = 9 30 10 3x ÷ ÷ 3 3 =
- 12. Multiply and Simplify 3 4 8 9 = 24 36 3 2x ÷ ÷ 12 12=
- 13. Multiply and Simplify 4 3 7 2 = 28 6 6)28 4x 24 44 4 6 ÷ ÷ 2 2 = 2 34
- 14. Multiply and Simplify 9 2 3 4 = 27 8 8)27 3x 24 3 3 8
- 15. Multiply and Simplify 8 2 7 3 = 56 6 6)56 9x 54 2 2 6 9 2 6 ÷ 2 2 =9 1 3÷
- 16. Multiply and Simplify 3 4 4 2 = 12 8 8)12 1x 8 4 4 8 14 8 ÷ 4 4 = 11 2÷
- 17. Reference: Yuskaitis, Monica. (2000) Retrieved from http://portal.bentonvillek12.org/athurman/5th%20Grade %20Math/Module%205/Multiplication%20of%20mixed %20numbers.pdf