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Compute
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fractions and apply these procedures to solving problems.
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UNDERLYING SKILLS AND CONCEPTS:
understand division of fractions
Divide Mixed Numbers
You can use what you know about dividing
fractions to divide mixed numbers.
• First, write the mixed numbers as fractions.
• Then, multiply by the reciprocal.
• Simplify the product.
E x am p l E
1
1
Mabel has $ of a watermelon. If 4 people
2
E x am p l E
2
3
4
Divide 3 $ ! 4 $ .
5
4
share it, what fraction of the watermelon
1
Find $ ! 4.
2
1
1
1
$ !4 " $ # $
2
2
4
19
4
3
19
3 $ !4 $ = $ ! $
5
4
5
4
1 19
4
"$#$
5
19 1
4
"$
5
1
"$
8
1
Each person gets $ of a watermelon.
8
page 212
Chapter 18 – Lesson 4
E – © CSL Associates, Inc. All rights reserved.
does each person get?
Name
P RAC T I C E
Divide.
1
1
1. 1 ÷ 1
2
3
1
1
8
1
3
2. 2 1
2
4
3
1
7
7
1
3. 1 2
8
4
5
6
3
1
4. 2 3
4
8
22
25
2
5
5. 2 1
5
7
2
1
5
1
1
6. 3 2
3
2
1
1
3
5
4
3
7. 4 3
1
11
5
10
3
1
8. 4 3
8
2
1
1
4
1
2
9. 5 2
3
3
2
19
1
2
10. 10 3
2
22
2
3
1
1
11. 9 3
3
2
2
2
3
7
2
8
5
12. 8 3
8
E – © CSL Associates, Inc. All rights reserved.
Solve each problem.
1
13. Connie has 3 cups of walnuts.
2
1
She uses cup in each batch of nut
3
bars. How many batches of nut bars can
14. Mary is making a beaded bracelet. She
wants it to be 7 inches long. Each bead
1
is inch long. How many beads does
12
she need?
she make?
84 beads
1
10 batches
2
Math
Reasoning
Divide with Mixed Numbers
MR 1.1
15. How is dividing mixed numbers like dividing fractions?
You multiply by the reciprocal.
16. How is it different?
You have to change the mixed numbers to improper fractions.
Chapter 18 – Lesson 4
page 213
MCX94.HW.CL.G5.FM&Lesson.v211
8/2/04
18:03
Page 144
Name
…at home!
P RAC T I C E
Divide.
1 ÷21 1. 1 2
4
2
3
1 11 2. 2 2
6
1
2
7 12 3. 1 8
3
1
1
3 1
7 4. 2 4
8
7
1
15
2 4
4 5. 2 5
5
1
2
1 1 6. 3 3
3
10
4 3
7. 4 5
3
1
3 61 8. 4 8
4
7
10
1 15 9. 5 3
9
3
3
1 32 10. 7 2
3
1
2
1 21 11. 9 3
3
4
22
Solve each problem.
1 cups of walnuts.
13. Polly has 3 2
1 cup in each batch of nut
She uses 2
bars. How many batches of nut bars can
5 3
12. 2 8
8
7
7
8
14. Enrique is making a beaded bracelet.
He wants it to be 8 inches long. Each
1 inch long. How many beads
bead is 12
does he need?
she make?
96 beads
7 batches
Math
Reasoning
Divide with Mixed Numbers
MR 1.1
15. Explain how to divide mixed numbers.
You have to change the mixed numbers to improper fractions. Then
you multiply by the reciprocal of the divisor.
page 144
Home Resource and Homework
Chapter 18 Lesson 4
E – © CSL Associates, Inc. All rights reserved.
5
7
MCX94TEG5CH01_32.v7.4.2 2/24/01 19:47 Page 393
Name
P RAC T I C E
Divide.
1 ÷11 1. 1 2
3
1
1
8
1 13 2. 2 2
4
3
1
7
7 21 3. 1 8
4
5
6
3 31 4. 2 4
8
22
25
2 15 5. 2 5
7
2
1
5
1 21 6. 3 3
2
1
1
5
4 3 3 1
7. 4 11
5
10
3 31 8. 4 8
2
1
1
1 22 9. 5 3
3
2
19
1 3 2 2
10. 10 22
2
3
1 31 11. 9 3
2
2
2
4
3
3
7
2
5 3
12. 8 8
8
E – © CSL Associates, Inc. All rights reserved.
Solve each problem.
1 cups of walnuts.
13. Connie has 3 2
1 cup in each batch of nut
She uses 3
bars. How many batches of nut bars can
14. Mary is making a beaded bracelet. She
wants it to be 7 inches long. Each bead
1 inch long. How many beads does
is 12
she need?
she make?
84 beads
1 batches
10 2
Math
Reasoning
Divide with Mixed Numbers
MR 1.1
15. How is dividing mixed numbers like dividing fractions?
You multiply by the reciprocal.
16. How is it different?
You have to change the mixed numbers to improper fractions.
Chapter 18 – Lesson 4
Student Book Page
page 213
Name
…at home!
P RAC T I C E
Divide.
1
1
1. 1 ÷ 2
2
4
2
3
1
1
2. 2 1
2
6
1
2
7
7
2
3. 1 1
8
3
1
1
8
3
7
4. 2 1
4
8
7
1
15
2
4
5. 2 4
5
5
1
2
1
1
6. 3 3
3
10
4
7. 4 3
5
3
1
5
3
1
8. 4 6
8
4
7
10
1
5
9. 5 1
3
9
3
3
7
1
2
10. 7 3
2
3
1
2
22
1
1
11. 9 2
3
3
4
bars. How many batches of nut bars can
7
8
14. Enrique is making a beaded bracelet.
He wants it to be 8 inches long. Each
1
bead is inch long. How many beads
12
does he need?
she make?
96 beads
7 batches
Math
Reasoning
Divide with Mixed Numbers
MR 1.1
15. Explain how to divide mixed numbers.
You have to change the mixed numbers to improper fractions. Then
you multiply by the reciprocal of the divisor.
page 144
Home Resource and Homework
Chapter 18 Lesson 4
E – © CSL Associates, Inc. All rights reserved.
Solve each problem.
1
13. Polly has 3 cups of walnuts.
2
1
She uses cup in each batch of nut
2
5
12. 2 3
8