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5-6 Dividing Fractions and Mixed Numbers Learn to divide fractions and mixed numbers.

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Presentation on theme: "5-6 Dividing Fractions and Mixed Numbers Learn to divide fractions and mixed numbers."— Presentation transcript:

1 5-6 Dividing Fractions and Mixed Numbers Learn to divide fractions and mixed numbers.

2 5-6 Dividing Fractions and Mixed Numbers Vocabulary reciprocal multiplicative inverse

3 5-6 Dividing Fractions and Mixed Numbers Reciprocals can help you divide by fractions. Two numbers are reciprocals if their product is 1.

4 5-6 Dividing Fractions and Mixed Numbers Find the reciprocal. 1 9 __ 2 3 1 5 3 1 4 4 5 4 1 8

5 5-6 Dividing Fractions and Mixed Numbers Look at the relationship between the fractions and. If you switch the numerator and denominator of a fraction, you will find its reciprocal. Dividing by a number is the same as multiplying by its reciprocal. 3 4 __ 4 3 24 ÷ 4 = 624 = 6 1 4 __

6 5-6 Dividing Fractions and Mixed Numbers Using Reciprocals to Divide Fractions and Mixed Numbers Divide. Write each answer in simplest form. ÷ 7 8 7 __

7 5-6 Dividing Fractions and Mixed Numbers When you divide by a proper fraction, the quotient will be greater than the dividend. For example, since there are 8 halves in 4, 4  ½ = 8. Caution!

8 5-6 Dividing Fractions and Mixed Numbers Using Reciprocals to Divide Fractions and Mixed Numbers ÷ 5 6 __ 2 3

9 5-6 Dividing Fractions and Mixed Numbers Using Reciprocals to Divide Fractions and Mixed Numbers 2 ÷ 1 3 4 __ 1 12 __

10 5-6 Dividing Fractions and Mixed Numbers Check It Out: Divide. Write each answer in simplest form. ÷ 3 2 3 __

11 5-6 Dividing Fractions and Mixed Numbers Check It Out: ÷ 7 10 __ 1 5

12 5-6 Dividing Fractions and Mixed Numbers Check It Out: Example 2C 3 ÷ 1 2 3 __ 1 9

13 5-6 Dividing Fractions and Mixed Numbers In her pet care center, Nelson has pounds of cat food. He plans to feed a cat with pound of cat food. How many cats can he feed?

14 5-6 Dividing Fractions and Mixed Numbers Lesson Quiz Find the reciprocal. 1. 2. Divide. Write each answer in simplest form. 3. ÷ 204. 3 ÷ 2 5. Rhonda put 2 pounds of pecans into a -pound bag. How many bags did Rhonda fill? 1 11 __ 8 13 __ 4 7 1 2 1 2 3 4 1 4 11 1 __ 13 8 __ 1 35 __ 7 5 2 5, or 1 11 bags


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