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5-6 Dividing Fractions and Mixed Numbers
Learn to divide fractions and mixed numbers.
5-6 Dividing Fractions and Mixed Numbers
Vocabulary
reciprocal
multiplicative inverse
5-6 Dividing Fractions and Mixed Numbers
Reciprocals can help you divide by fractions. Two numbers are reciprocals if their product is 1.
5-6 Dividing Fractions and Mixed Numbers
Find the reciprocal.
19__
23__ 1
5__
3
14__ 4
5__ 4
18__
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.
34__ 4
3__
24 ÷ 4 = 6 24 • = 614__
5-6 Dividing Fractions and Mixed Numbers
Using Reciprocals to Divide Fractions and Mixed Numbers
Divide. Write each answer in simplest form.
÷ 7 87__
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!
5-6 Dividing Fractions and Mixed Numbers
Using Reciprocals to Divide Fractions and Mixed Numbers
÷ 56__
23__
5-6 Dividing Fractions and Mixed Numbers
Using Reciprocals to Divide Fractions and Mixed Numbers
2 ÷ 1 34__ 1
12__
5-6 Dividing Fractions and Mixed Numbers
Check It Out:
Divide. Write each answer in simplest form.
÷ 3 23__
5-6 Dividing Fractions and Mixed Numbers
Check It Out:
÷ 710__
15__
5-6 Dividing Fractions and Mixed Numbers
Check It Out: Example 2C
3 ÷ 1 23__ 1
9__
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?
5-6 Dividing Fractions and Mixed Numbers
Lesson Quiz
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?
111__ 8
13__
47__ 1
2__ 1
2__
34__ 1
4__
111__ 13
8__
135__ 7
5 __ 2
5__, or 1
11 bags
