NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Homework Practice 6.4.8
Divide Mixed Numbers
Divide. Write in simplest form.
2
3
1. 2 ÷ 3
1
2
1
4
3. 4 ÷
3
4
1
4
7. 2
2. 10 ÷ 1
1
4
3
8
5. 7 ÷ 1
7
8
1
÷
10
6. 3 ÷ 2
15
16
4. 14
1
5
1
2
÷
7
8
7
10
8. 4 ÷ 2
1
9. HURRICANES Suppose a hurricane traveled 130 miles from a point in the Atlantic Ocean to the Florida coastline in
1
6 hours. How many miles per hour did the hurricane travel?
2
3
4
1
3
10. PIPES How many -foot lengths of pipe can be cut from a 6 -foot pipe?
3
11. TRUCKING A truck driver drove 300 miles in 64 hours. How many miles per hour did the driver drive?
1
1
12. BAKING A bag contains 22 cups of flour. A recipe for pancakes uses 1 cups of flour. How many batches of
2
4
pancakes can be made with one bag of flour?
Course 1 • Chapter 4 Multiply and Divide Fractions
69
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Study Guide 6.4.8
Divide Mixed Numbers
To divide mixed numbers express each mixed number as an improper fraction. Then divide as with fractions.
Example 1
𝟐
𝟑
Find 𝟏 𝟑 ÷ 𝟒.
2
3
5
3
5
3
4
3
13 ÷ 4 = 3 ÷ 4
= ×
=
20
9
Write the mixed number as an improper fraction.
Multiply by the reciprocal.
2
or 2 9
Simplify.
Example 2
𝟐
𝟏
Find 𝟐 𝟑 ÷ 𝟏 𝟓.
Estimate: 3 ÷ 1 = 3
2
1
8
6
8
3
5
6
23 ÷ 15 = 3 ÷ 5
= ×
Write mixed numbers as improper fractions.
5
Multiply by the reciprocal, .
6
4
8×5
=
3×6
3
=
20
9
Divide 8 and 6 by the GCF, 2.
2
or 29
Simplify. Compare to the estimate.
Course 1 • Chapter 4 Multiply and Divide Fractions
69