﻿ Multiplying Fractions and Mixed Numbers Worksheet | Problems & Solutions

# Multiplying Fractions and Mixed Numbers Worksheet

Multiplying Fractions and Mixed Numbers Worksheet
• Page 1
1.
$6\frac{1}{4}$ × $4\frac{4}{5}$ = ______
 a. 31 b. 30 c. 32 d. 29

#### Solution:

614 × 445

= 254 × 245
[Write each mixed number as an improper fraction.]

= 51 × 61
[Cancel 25 with 5 and 24 with 4.]

= 5 × 61 × 1
[Multiply numerators and denominators.]

= 301 = 30
[Write 30 / 1 as 30.]

61 / 4 × 44 / 5 = 30

2.
$\frac{2}{3}$ × $10\frac{1}{2}$ = ____
 a. 6 b. 9 c. 7 d. 8

#### Solution:

23 × 1012

= 23 × 212
[Write the mixed number as an improper fraction.]

= 11 × 71
[Cancel 2 with 2 and 21 with 3.]

= 1 × 71 × 1
[Multiply the numerators and the denominators.]

= 71 = 7
[Write 7 / 1 as 7.]

2 / 3 × 101 / 2 = 7

3.
11000 × $\frac{5}{11}$ = ______
 a. 6000 b. 4000 c. 5000 d. 7000

#### Solution:

11000 × 511

= 110001 × 511
[Write 11000 as 11000 / 1.]

= 11000 × 511 × 1
[Multiply the numerators and denominators.]

= 5500011
[Find the two products.]

= 5000
[Divide 55000 by 11.]

11000 × 5 / 11 = 5000

4.
$\frac{3}{7}$ × 483 = ______
 a. 197 b. 187 c. 217 d. 207

#### Solution:

37 × 483

= 37 × 4831
[Write 483 as 483 / 1.]

= 3 × 4837 × 1
[Multiply the numerators and the denominators.]

= 14497
[Find the two products.]

= 207
[Write 1449 / 7 in simplest form.]

3 / 7 × 483 = 207

5.
$\frac{1}{5}$ × 20 = ____
 a. 4 b. 9 c. 3 d. 1

#### Solution:

1 / 5 × 20

= 1 × 205×1
[Group the numerators and denominators.]

= 20 / 5 = 4
[Simplify.]

1 / 5 × 20 = 4

6.
$\frac{4}{7}$ × 385 = ______
 a. 220 b. 210 c. 155 d. 165

#### Solution:

47 × 385

= 4 × 55
[385 / 7 = 55.]

= 220
[Multiply.]

4 / 7 × 385 = 220

7.
8 × $\frac{3}{4}$ = ______
 a. 7 b. 9 c. 6 d. 8

#### Solution:

8 × 34

= 81 × 34
[Write 8 as 8 / 1.]

= 8 × 31 × 4
[Multiply the numerators and denominators.]

= 244
[Find the two products.]

= 6
[Write 24 / 4 in simplest form.]

8 × 3 / 4 = 6

8.
$\frac{1}{6}$ × 60 = ______
 a. 10 b. 9 c. 11 d. 13

#### Solution:

16 × 60

= 16 × 601
[Write 60 as 60 / 1.]

= 1 × 606 × 1
[Multiply the numerators and denominators.]

= 606
[Find the two products.]

= 10
[Divide 60 by 6.]

1 / 6 × 60 = 10

9.
$\frac{1}{5}$ × 15 = ______
 a. 6 b. 4 c. 3 d. 5

#### Solution:

15 × 15

= 15 × 151
[Write 15 as 15 / 1.]

= 1 × 155 × 1
[Multiply the numerators and denominators.]

= 155
[Find the two products.]

= 3
[Divide 15 by 5.]

1 / 5 × 15 = 3

10.
$\frac{3}{4}$ × 40 = ______
 a. 35 b. 30 c. 34 d. 33

#### Solution:

34 × 40

= 34 × 401
[Write 40 as 40 / 1.]

= 3 × 404 × 1
[Multiply the numerators and denominators.]

= 1204
[Find the two products.]

= 30
[Divide 120 by 4.]