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Fractions Part 2 Multiplication of Fractions

Fractions Part 2 Multiplication of Fractions. by Ms. Zeichick Fourth Grade. Real Life Application-When do We Multiply Fractions?. Your family eats 1/8 of 1/2 of a left over wedding cake. What do use? 1/8 of 1/2 or 1/8 x 1/2. When You Would Multiply a Fraction Times a Fraction.

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Fractions Part 2 Multiplication of Fractions

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  1. Fractions Part 2Multiplication of Fractions by Ms. Zeichick Fourth Grade

  2. Real Life Application-When do We Multiply Fractions? • Your family eats 1/8 of 1/2 of a left over wedding cake. What do use? 1/8 of 1/2 or 1/8 x 1/2 E Skill

  3. When 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 E SKILL

  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. E SKILL

  5. Multiplying FractionsConceptual Understanding ½ x ¾ = 3/8 ¼ ¼ ¼ ¼ 1/8 1/8 1/8

  6. Let’s Model Together 2/3 of 1/4 = First, let us fold the paper into a half then another half . Shade 1 on the boxes red. Next, we will turn the paper around and fold the paper in to make three rows. We will shade two of three columns blue. Now we have 12 boxes and two of them are double shaded. This equals 2/12

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

  8. 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

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

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

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

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

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

  14. Enrichment-Improper Fractions 4 7 4 28 of x = 6) 28 2 3 6 24 4 2 2 ÷ 4 4 = 4 6 2 3 ÷

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

  16. 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

  17. 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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