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Dividing with Fractions

Dividing with Fractions. Models. If one and ¾ pizzas are cut into ¼ sections, how many people will receive a share? 1 whole ¾ Since there are 7 equal quarters, 7 people will each receive a share. 1 ¾ ÷ ¼ = 7. Model 2. Divide ¾ by 3/16

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Dividing with Fractions

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  1. Dividing with Fractions

  2. Models If one and ¾ pizzas are cut into ¼ sections, how many people will receive a share? 1 whole ¾ Since there are 7 equal quarters, 7 people will each receive a share. 1 ¾ ÷ ¼ = 7

  3. Model 2 Divide ¾ by 3/16 There are 4 groups of 3/16, so ¾ ÷ 3/16 = 4 1/4 1/4 1/4 1/16 1/16 1/16

  4. Procedures Instead of drawing models every time, there is a procedure that we can use to easily solve these types of problems. First, we must know what a RECIPROCAL is: Any two numbers whose product is 1 are called reciprocals of each other. How do we find reciprocals? Invert the second fraction, or flip it.

  5. Examples Find the reciprocal of the following: 1745 6 1 • 1 5 4 6 2 1 = 94 Your turn 3 2 and 2 4 4 9 3 9

  6. Examples1)First change mixed numbers to improper fractions2)Flip second fraction (invert)3)Multiply the two fractions 1) ¾ ÷ 3/16 = ¾ x 16/3 1 3 x 16 4 = 4 invert 1 43 1 2) 1 3 ÷ 1 = 7 x 4 = 7 * change mixed numbers to 4 4 4 1 improper fractions first. 3) You try 2 1 ÷ 3 2 = remember to change all mixed 5 3 numbers to improper fractions first.

  7. Review Procedures • First change all mixed numbers to improper fractions if necessary. • Invert or flip the second fraction. • Change division symbol to multiplication. Try these: 3 ÷ 9 1 1 ÷ 5 8 16 2 6

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