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Multiplying A Fraction by A Whole Number

Multiplying A Fraction by A Whole Number. 6.1.3.1 Multiply and divide decimals and fractions, using efficient and generalizing procedures, including standard algorithms. I can …. Multiply fractions and whole numbers Multiply to find part of a whole. Self Assessment

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Multiplying A Fraction by A Whole Number

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  1. Multiplying A Fraction by A Whole Number 6.1.3.1 Multiply and divide decimals and fractions, using efficient and generalizing procedures, including standard algorithms

  2. Ican… • Multiply fractions and whole numbers • Multiply to find part of a whole Self Assessment 5- I can do it without help & teach others. 4- I can do this with no help, but I don’t know if I can explain it. 3- I can do this with a little help. 2- I can do this with a lot of help! 1- I don’t have a clue.

  3. How Can We Multiply A Fraction And A Whole Number? Use repeated addition Remember… this means 6 groups of 2/3 2 3 x 6 4 12 3 + + 2 3 + = = 2 3 2 3 + + 2 3 2 3 2 3

  4. How Can We Multiply A Fraction And A Whole Number? Use the Algorithm If you want to multiply a fraction by a whole number… turn your whole number into a fraction by placing a 1 as the denominator.Multiply. 6 1 3 4 3 4 x x 6 18 4 1 2 2 4 = = = = 4 4

  5. Let’s Practice… Find the product… 6 x = 2 4/7 40 x = 36 3 x = 9/10 x 15 = 2 1/2 = 7 1/2 x 5 x 12 = 10

  6. How Can We Multiply A Fraction And A Whole Number? Word Problems You are choosing 18 CDs to take to a party. You want of the CDs to have dance music. How many dance music CDs should you choose? 2 3 2 3 18 1 2 3 of x x 18 18 36 3 = = = = 12 Cds

  7. How Can We Multiply A Fraction And A Whole Number? Let’s Practice… You are buying 16 cans of cat food. You want of the cans to be chicken flavored. How many chicken flavored cans should you buy? 3 8 3 8 16 1 3 8 of x x 16 16 48 8 = = = = 6 cans

  8. How Can We Multiply A Fraction And A Whole Number? Estimating a Fraction You have 15 CDs. Each CD case is inch wide. Estimate how wide a space you need on a CD rack to fit all 15 CDs. Step 1: Multiply width of a CD case by number of cases. 3 8 x 15

  9. How Can We Multiply A Fraction And A Whole Number? Estimating a Fraction You have 15 CDs. Each CD case is inch wide. Estimate how wide a space you need on a CD rack to fit all 15 CDs. Step 2: Replace 15 with the closest number that is compatible with 8. 3 8 16 x

  10. How Can We Multiply A Fraction And A Whole Number? Estimating a Fraction You have 15 CDs. Each CD case is inch wide. Estimate how wide a space you need on a CD rack to fit all 15 CDs. Step 3: Multiply 3 8 16 1 x = 6 inches

  11. How Can We Multiply A Fraction And A Whole Number? Let’s Practice… You are making a rack to hold 47 DVD cases. Each DVD case is inch wide. Estimate how far apart the ends of the rack need to be. 5 8 5 8 48 1 47 1 x x = 30 inches

  12. Ican… • Multiply fractions and whole numbers • Multiply to find part of a whole Self Assessment 5- I can do it without help & teach others. 4- I can do this with no help, but I don’t know if I can explain it. 3- I can do this with a little help. 2- I can do this with a lot of help! 1- I don’t have a clue.

  13. 7.1 Notes Whole Numbers X Fractions • Turn your whole number into a fraction by placing a 1 in the denominator • Multiply numerators • Multiply denominators • Reduce

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