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Dividing Fractions

Dividing Fractions. SPI 6.2.1 Solve problems involving multiplication and division of fractions. SPI 6.2.4 Solve multi-step arithmetic problems using fractions, mixed numbers, and decimals. . Brainpop over x and dividing fractions

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Dividing Fractions

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  1. Dividing Fractions SPI 6.2.1 Solve problems involving multiplication and division of fractions. SPI 6.2.4 Solve multi-step arithmetic problems using fractions, mixed numbers, and decimals. Brainpop over x and dividing fractions http://www.brainpop.com/math/numbersandoperations/multiplyinganddividingfractions/

  2. 1 __ 2 Warm Up Multiply. Write each answer in simplest form. 3) 1 • 3

  3. Dividing Number What does this mean? 20 ÷ 5 =

  4. Reciprocals can help you divide by fractions. Two numbers are reciprocals if their product is 1.

  5. 1 __ 9 1 1 1 __ __ __ Think: of what number is 1? • = 1 9 9 9 1 9 1 __ __ __ • 9 = 1 9 1 9 1 __ 9 Find the reciprocal. of is 1. The reciprocal of is 9.

  6. 2 __ 3 2 2 __ __ • = 1 3 3 2 3 3 2 6 __ __ __ __ __ 3 2 2 3 6 3 2 __ __ 2 3 Find the reciprocal. Think: of what number is 1? of is 1. • = = 1 The reciprocal of is .

  7. So what is the process? KCF K – KEEP first fraction the same C – CHANGE division sign to multiplication F – FLIP the second fraction over (find the reciprocal) *if any mixed # or whole #’s make them improper fractions before you begin

  8. Dividing Fractions What does it mean to divide 2 fractions???

  9. 8 __ 7 Rewrite as multiplication using the reciprocal of 7, . 8 8 1 __ __ __ 1 __ 7 7 7 7 8 • 1 ____ 7 • 7 8 __ 49 Divide. Write each answer in simplest form. ÷ 7 ÷ 7 = • = Multiply by the reciprocal. = The answer is in simplest form.

  10. 1 3 __ __ 12 4 3 11 3 1 11 13 __ __ __ __ __ __ 4 4 4 12 4 12 1 13 __ __ 12 12 12 11 __ __ 13 4 11 • 12 ______ 4 • 13 33 __ 13 7 __ 13 2 ÷ 1 Write the mixed numbers as improper fractions. 2 = and 1 = 2 ÷ 1 = ÷ Rewrite as multiplication. = • 3 = Simplify before multiplying. 1 Multiply. = You can write the answer as a mixed number. = 2

  11. More examples Dividing Fractionsfor white boards

  12. 138 8 1 11 __ __ __ __ 13 11 1 2 1 1 7 4 __ 1 __ __ __ __ __ 5 35 2 5 7 2 3 1 __ __ 4 4 Find the reciprocal. 1.2. Divide. Write each answer in simplest form. 3. ÷ 20 4. 3 ÷ 2 5. Rhonda put 2 pounds of pecans into a -pound bag. How many bags did Rhonda fill? , or 1 11 bags

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