Multiply with Mixed Numbers

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Compute
and perform simple multiplication and division of
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UNDERLYING SKILLS AND CONCEPTS:
fractions and apply these procedures to solving problems.
understand multiplication of fractions
Multiply with Mixed Numbers
You can use what you know about multiplying
fractions to multiply mixed numbers.
• First, write the mixed numbers as fractions.
• Then, multiply the numerators.
• Multiply the denominators.
• Simplify the product.
E x am p l E
1
1
Brent uses 1 # cups of raisins in each batch
3
of muffins. He wants to make 3 batches
E x am p l E
2
3
2
Multiply 3 # ! 4 # .
5
4
of muffins. How many cups of raisins does
he need?
1
Find 1 # ! 3.
3
1
1
4
3
1# ! 3 " # ! #
3
3
1
1
323
"#
20
3
" 16 #
20
"4
He needs 4 cups of raisins.
page 198
Chapter 17 – Lesson 3
E – © CSL Associates, Inc. All rights reserved.
19
2
3
17
3# ! 4# " # ! #
5
4
5
4
Name
P RAC T I C E
Multiply.
1
1
1. 1 1
2
3
2
1
3
4. 2 3
5
8
1
8
1
4
7. 4 6
5
4
30
5
10. 6 4 8
8
3
27 4
3
1
2. 2 1
2
4
3
4
1
2
3. 1 2
3
4
3
3
5
2
5. 2 1
5
6
2
4
5
3
1
6. 3 2
3
8
11
7
1
3
8. 4 3
8
5
14
3
1
9. 5 3
4
7
18
1
3
11. 2
5
12
1
1
8
4
4
12
2
36 9
1
12. 9 3
5
3
10
E – © CSL Associates, Inc. All rights reserved.
Solve each problem.
1
miles every day.
13. Jim runs 1 2
7
14. Sally uses 1 yards of trim for each
8
How many miles does he run in 5 days?
costume she makes. How many yards of
trim does she use for 4 costumes?
1
7
miles
2
1
7
yards
2
Math
Reasoning
Multiply with Mixed Numbers
MR 1.1
15. How is multiplying mixed numbers like multiplying fractions?
You multiply the numerators and then multiply the denominators.
16. How is it different?
You must first change the mixed numbers to improper fractions.
Chapter 17 – Lesson 3
page 199
MCX94.HW.CL.G5.FM&Lesson.v211
8/2/04
18:03
Page 134
Name
…at home!
P RAC T I C E
Multiply.
1 11 1. 1 2
4
7
1
1 12 2. 2 2
3
1
4
2 25 3. 1 3
6
13
4
3 33 4. 2 5
4
3
9
2 13 5. 2 5
8
3
3
10
1 11 6. 3 3
8
3
3
4 12 7. 4 5
3
8
3 22 8. 4 8
5
1
10 1 22 9. 5 4
7
12
3 2 1 11. 10
12
5
8
1 33 12. 9 3
7
32
5 10. 6 4 12
8
4
1
26 2
6
2
18
4
1 miles every day.
13. Paco runs 5 2
5 yards of trim for each
14. Pat uses 2 6
How many miles does he run in 5 days?
costume she makes. How many yards of
trim does she use for 4 costumes?
1 miles
27 1 yards
11 2
Math
Reasoning
3
Multiply with Mixed Numbers
MR 1.1
15. Explain how to multiply mixed numbers.
You must first change the mixed numbers to improper fractions. Then
you multiply the numerators and then multiply the denominators.
page 134
Home Resource and Homework
Chapter 17 Lesson 3
E – © CSL Associates, Inc. All rights reserved.
Solve each problem.
MCX94TEG5CH01_32.v7.4.2 2/24/01 19:47 Page 367
Name
P RAC T I C E
Multiply.
1 11 1. 1 2
3
2
3 31 4. 2 5
8
1
8
4 61 7. 4 5
4
30
5 10. 6 4 8
8
3
27 4
1 13 2. 2 2
4
3
4
2 21 3. 1 3
4
3
3
2 15 5. 2 5
6
2
4
5
1 23 6. 3 3
8
11
7
3 31 8. 4 8
5
14
1 33 9. 5 4
7
18
3 2 1 11. 5
12
1
1
8
4
4
12
2
1 3 9 36 12. 9 5
3
10
E – © CSL Associates, Inc. All rights reserved.
Solve each problem.
1 miles every day.
13. Jim runs 1 2
7 yards of trim for each
14. Sally uses 1 8
How many miles does he run in 5 days?
costume she makes. How many yards of
trim does she use for 4 costumes?
1 miles
7
1 yards
7
2
Math
Reasoning
2
Multiply with Mixed Numbers
MR 1.1
15. How is multiplying mixed numbers like multiplying fractions?
You multiply the numerators and then multiply the denominators.
16. How is it different?
You must first change the mixed numbers to improper fractions.
Chapter 17 – Lesson 3
Student Book Page
page 199
Name
…at home!
P RAC T I C E
Multiply.
1
1
1. 1 1
2
4
7
1
8
1
2
2. 2 1
2
3
1
4
6
2
5
3. 1 2
3
6
13
4
18
3
3
4. 2 3
5
4
3
9
4
2
3
5. 2 1
5
8
3
3
10
1
1
6. 3 1
3
8
3
3
4
4
2
7. 4 1
5
3
8
3
2
8. 4 2
8
5
1
10 2
1
2
9. 5 2
4
7
12
1
26 2
3
1
11. 2
10
12
5
8
1
3
12. 9 3
3
7
32
5
10. 6 4 12
1
miles every day.
13. Paco runs 5 2
5
14. Pat uses 2 yards of trim for each
6
How many miles does he run in 5 days?
costume she makes. How many yards of
trim does she use for 4 costumes?
1
27 miles
2
1
11 yards
3
Math
Reasoning
Multiply with Mixed Numbers
MR 1.1
15. Explain how to multiply mixed numbers.
You must first change the mixed numbers to improper fractions. Then
you multiply the numerators and then multiply the denominators.
page 134
Home Resource and Homework
Chapter 17 Lesson 3
E – © CSL Associates, Inc. All rights reserved.
Solve each problem.