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Multiplication of Fractions

Multiplication of Fractions. 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. Times You Would Multiply a Fraction Times a Fraction.

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Multiplication of Fractions

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  1. Multiplication of 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 FractionsConceptual 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 FractionsConceptual 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. 1 4 x of 2 9

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

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

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

  11. Multiply and Simplify 1 9 9 3 3 of ÷ x = = 6 5 30 3 10 ÷

  12. Multiply and Simplify 8 3 24 12 2 of x ÷ = = 9 4 36 12 3 ÷

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

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

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

  16. Multiply and Simplify Super job! 4 4 3 12 1 8 of x = 8) 2 4 8 12 8 4 4 1 ÷ = 1 1 4 8 4 2 ÷

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