Transcript 5-6 - Hazlet.org

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.
1
__
9
2
__
3
1
__
4
4
__
5
1
__
3 5
1
__
4 8
5-6 Dividing Fractions and Mixed Numbers
Look at the relationship between the
4
3
__
__
fractions 4 and 3 . 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.
24 ÷ 4 = 6
1
__
24 • 4 = 6
5-6 Dividing Fractions and Mixed Numbers
Using Reciprocals to Divide Fractions and
Mixed Numbers
Divide. Write each answer in simplest form.
8
__
÷7
7
5-6 Dividing Fractions and Mixed Numbers
Caution!
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.
5-6 Dividing Fractions and Mixed Numbers
Using Reciprocals to Divide Fractions and
Mixed Numbers
2
5
__
÷ __
3
6
5-6 Dividing Fractions and Mixed Numbers
Using Reciprocals to Divide Fractions and
Mixed Numbers
1
3
2 __
÷ 1 __
4
12
5-6 Dividing Fractions and Mixed Numbers
Check It Out:
Divide. Write each answer in simplest form.
2
__
÷3
3
5-6 Dividing Fractions and Mixed Numbers
Check It Out:
1
7
__
÷ __
5
10
5-6 Dividing Fractions and Mixed Numbers
Check It Out: Example 2C
1
2
3 __
÷ 1 __
3
9
5-6 Dividing Fractions and Mixed Numbers
In her pet care center, Nelson has
of cat food. He plans to feed a cat with
of cat food. How many cats can he feed?
pounds
pound
5-6 Dividing Fractions and Mixed Numbers
Lesson Quiz
Find the reciprocal.
1
11
__
1. __
2.
11
1
Divide. Write each answer
4 ÷ 20
3. __
7
1
__
35
8
__
13
13
__
8
in simplest form.
2
1 __
7 , or 1 __
1
__
__
4. 3 2 ÷ 2 2
5
5
3
1 -pound
__
5. Rhonda put 2 pounds of pecans into a __
4
4
bag. How many bags did Rhonda fill?
11 bags