wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Multiplying fractions by whole, fractions, and mixed numbers

Total questions: 95

Worksheet time: 7hrs 40mins

Name
Class
Date
1.

2/3 x 8

a)

16/3

b)

2/24

c)

5 and 1/3

d)

10/3

2.

3 x 5/6

a)

5/18

b)

15/18

c)

15/6

d)

2 and 2/6

3.

Christian fills his aquarium using a water bottle. The water bottle holds ¾ cup of water. He uses 15 full cups of water to fill the aquarium. How many cups of water does the container hold?

a)

45/4

b)

3/15

c)

45/15

d)

18/4

4.

Jose ran 3/4 of a mile every day for 12 days. How many miles did he run altogether?

a)

6/4 miles

b)

4 1/2 miles

c)

32/4 miles

d)

9 miles

5.

5 × 46=?5\ \times\ \frac{4}{6}=?   

a)

3 263\ \frac{2}{6}  

b)

206\frac{20}{6}  

c)

3 2303\ \frac{2}{30}  

d)

2030\frac{20}{30}  

6.

12 x  13\frac{1}{3}   =

a)

4

b)

36

c)

78\frac{7}{8}  

d)

136\frac{1}{36}  

7.

Which model shows 26\frac{2}{6}   of 18

a)

b)

c)

d)

8.

Which model shows 46 of 24\frac{4}{6}\ of\ 24  

a)

b)

c)

d)

9.

Multiplication is the same as ________________?

a)

repeated division

b)

repeated addition

c)

repeated subtraction

10.

Which equation matches the model?

a)

23\frac{2}{3}  x 4

b)

13\frac{1}{3}  x 4

c)

3 x 4

d)

13 x 3\frac{1}{3}\ x\ 3  

11.

Which equation matches the model?

a)

56 x 4\frac{5}{6}\ x\ 4  

b)

26 x 4\frac{2}{6}\ x\ 4  

c)

5 x 6

d)

3 x 563\ x\ \frac{5}{6}  

12.

4 × 234\ \times\ \frac{2}{3}  

How can the expression above be rewritten as repeated addition?

a)

4 + 234\ +\ \frac{2}{3}  

b)

23+23+23+23\frac{2}{3}+\frac{2}{3}+\frac{2}{3}+\frac{2}{3}  

c)

4 + 4 + 4 + 4

d)

23+23+23\frac{2}{3}+\frac{2}{3}+\frac{2}{3}  

13.

What is the equation for this model?

a)

35 x 3\frac{3}{5}\ x\ 3  

b)

3 x 253\ x\ \frac{2}{5}  

c)

4 x 35\frac{3}{5}  

d)

3 x 5

14.

What is the PRODUCT represented by the model?

a)

45\frac{4}{5}  

b)

1 35\frac{3}{5}  

c)

2

d)

1 45\frac{4}{5}  

15.

A fraction in which the numerator is greater than or equal to the denominator

a)

proper fraction

b)

improper fraction

c)

denominator

d)

mixed number

16.

Change the improper fraction to a mixed number

156\frac{15}{6}  

a)

1 56\frac{5}{6}  

b)

2 16\frac{1}{6}  

c)

2 36\frac{3}{6}  

d)

1 12\frac{1}{2}  

17.

The first step to multiplying fractions by whole number is...

a)

Multiply the numerators.

b)

Multiply the denominators.

c)

Put a 1 under the whole number to make it a fraction.

d)

Write the whole number over 2.

18.

17 × 14 =\frac{1}{7}\ \times\ 14\ =  

a)

2

b)

121\frac{1}{21}  

c)

2 172\ \frac{1}{7}  

d)

198\frac{1}{98}  

19.

56 ×2 =\frac{5}{6}\ \times2\ =  

a)

1 231\ \frac{2}{3}  

b)

76 or 1 16\frac{7}{6}\ or\ 1\ \frac{1}{6}  

c)

512\frac{5}{12}  

d)

58\frac{5}{8}  

20.

38 × 4 =\frac{3}{8}\ \times\ 4\ =  

a)

1 121\ \frac{1}{2}  

b)

78\frac{7}{8}  

c)

332\frac{3}{32}  

d)

312 or 14\frac{3}{12}\ or\ \frac{1}{4}  

21.

25 ×5=\frac{2}{5}\ \times5=  

a)

2

b)

225\frac{2}{25}  

c)

75\frac{7}{5}  

d)

15\frac{1}{5}  

22.

34 × 4 =\frac{3}{4}\ \times\ 4\ =  

a)

3

b)

316\frac{3}{16}  

c)

74\frac{7}{4}  

d)

4

23.

15 × 12 =\frac{1}{5}\ \times\ 12\ =  

a)

2 252\ \frac{2}{5}  

b)

160\frac{1}{60}  

c)

117\frac{1}{17}  

d)

2 352\ \frac{3}{5}  

24.

34 ×  3 =\frac{3}{4}\ \times\ \ 3\ =  

a)

1 141\ \frac{1}{4}  

b)

2 142\ \frac{1}{4}  

c)

64 or 1 12\frac{6}{4}\ or\ 1\ \frac{1}{2}  

d)

312 or 14\frac{3}{12}\ or\ \frac{1}{4}  

25.

23 × 10 =\frac{2}{3}\ \times\ 10\ =  

a)

6 236\ \frac{2}{3}  

b)

4

c)

115\frac{1}{15}  

d)

213\frac{2}{13}  

26.

37 ×7 =\frac{3}{7}\ \times7\ =  

a)

3

b)

314\frac{3}{14}  

c)

349\frac{3}{49}  

d)

1 371\ \frac{3}{7}  

27.

A recipe calls for 3/4 cup of flour. If you need to make 4 batches of the recipe, how much flour will you need in total?

a)

2 cups

b)

1/2 cup

c)

3 cups

d)

1/4 cup

28.

If a pizza is divided into 8 equal slices and you eat 3/4 of the pizza, how many slices did you eat?

a)

4

b)

7

c)

6

d)

2

29.

If a farmer has 5 fields and each field is planted with 2/3 of corn, how much corn did the farmer plant in total?

a)

10/3

b)

5/6

c)

4/3

d)

3/5

30.

Which multiplication expression represents the number line?

a)

2 x 1/5

b)

2 x 2/5

c)

2 x 4/5

d)

2 x 8/5

31.

This model represents multiplying a whole number by a fraction. Select the expression that represents the shaded model.

a)

1 x 1/3

b)

2 x 1/3

c)

2 x 2/3

d)

2 x 2/6

32.

Mrs. Lambert bought 4 jars of candy. Each jar had 3/4 Ib of candy. What is the total weight of the candy?

a)

3/12

b)

12/4

c)

7/4

d)

12/16

33.

An equation is shown. What is the whole number?

a)

5/10

b)

5

c)

15/10

d)

15

34.

Which visual model represents 2 x 2/6?

a)
b)
c)
d)
35.

What expression is modeled above?

a)

5 × 165\ \times\ \frac{1}{6}

b)

15× 6\frac{1}{5}\times\ 6

c)

530\frac{5}{30}

d)

6 × 156\ \times\ \frac{1}{5}

36.

57×4\frac{5}{7}\times4  Make sure your answer is in proper form.

a)

528\frac{5}{28}  

b)

2672\frac{6}{7}  

c)

207\frac{20}{7}  

d)

4 574\ \frac{5}{7}  

37.

39×2=\frac{3}{9}\times2=  

a)

618\frac{6}{18}  

b)

318\frac{3}{18}  

c)

96\frac{9}{6}  

d)

69\frac{6}{9}  

38.

2 ×  382\ \times\ \ \frac{3}{8}  

a)

68\frac{6}{8}  

b)

58\frac{5}{8}  

c)

616\frac{6}{16}  

d)

510\frac{5}{10}  

39.

5 ×  2125\ \times\ \ \frac{2}{12}  Make sure your answer is in proper form

a)

712\frac{7}{12}  

b)

1012\frac{10}{12}  

c)

717\frac{7}{17}  

d)

510\frac{5}{10}  

40.

17×6=?\frac{1}{7}\times6=?  

a)

642\frac{6}{42}  

b)

67\frac{6}{7}  

c)

77\frac{7}{7}  

d)

41.

4 ×110  = 4104\ \times\frac{1}{10\ }\ =\ \frac{4}{10}  

Which model matches the equation?

a)
b)
c)
d)
42.

Which multiplication equation is shown by this model?

a)

3 × 34=2 143\ \times\ \frac{3}{4}=2\ \frac{1}{4}

b)

3 × 13 = 13\ \times\ \frac{1}{3}\ =\ 1

c)

4 × 13= 1 134\ \times\ \frac{1}{3}=\ 1\ \frac{1}{3}

d)

1 × 34= 341\ \times\ \frac{3}{4}=\ \frac{3}{4}

43.

6 × 456\ \times\ \frac{4}{5}  

Which shows 2 other ways to write problems with the same product as the expression above.

a)

24 × 15  and  4 ×6524\ \times\ \frac{1}{5}\ \ and\ \ 4\ \times\frac{6}{5}  

b)

10 × 15  and   6 × 5410\ \times\ \frac{1}{5}\ \ and\ \ \ 6\ \times\ \frac{5}{4}  

c)

24 × 15  and  6 × 5424\ \times\ \frac{1}{5}\ \ and\ \ 6\ \times\ \frac{5}{4}  

d)

10 × 15  and  4 × 6510\ \times\ \frac{1}{5}\ \ and\ \ 4\ \times\ \frac{6}{5}  

44.

Which mixed number goes with 35 ×\frac{3}{5}\ \times 3?

a)

1 45\frac{4}{5}

b)

95\frac{9}{5}

c)

915\frac{9}{15}

d)

1 415\frac{4}{15}

45.

Which expression represents the number of SHADED circles

a)

26× 24\frac{2}{6}\times\ 24

b)

24×24\frac{2}{4}\times24

c)

46×24\frac{4}{6}\times24

d)

42×24\frac{4}{2}\times24

46.

Parker had a slime party and gave each friend 610\frac{6}{10} of a pound of slime to take home as a party favor. If 5 friends attended his party, how much slime did Parker need to buy for his friends? Make sure the answer is simplified.

a)

3 pounds

b)

5 pounds

c)

5 12\frac{1}{2} pounds

d)

6 pounds

47.
3/4 x 8 
a)
2
b)
8
c)
24/4
d)
6
48.
a)
b)
c)
d)
49.
a)
b)
50.
a)
b)
51.
a)
b)
52.
a)
b)
53.
a)
b)
54.
a)
b)
55.
a)
b)
56.
a)
b)
57.
a)
b)
58.
a)
b)
59.

Solve the problem.

a)

1/4

b)

2/3

c)

3/4

d)

3 3/4

60.

Solve the Problem

a)

6/2

b)

3

c)

2/6

d)

1 2/3

61.

Solve the problem.

a)

10

b)

24

c)

5

d)

3/4

62.

Which equation matches the model?

a)

6 x 3/4 = 4 1/2

b)

5 x 1/4 = 1 1/4

c)

3/4 x 3/4 = 9/8

d)

2 x 3/4 = 1 1/2

63.

Solve the equation

(a)  

64.

3×210=3\times\frac{2}{10}=  

a)

210\frac{2}{10}  

b)

510\frac{5}{10}  

c)

610\frac{6}{10}  

d)

630\frac{6}{30}  

65.

Find the answer in simplest form.

a)
b)
c)
d)
66.

Find the answer in simplest form.

a)
b)
c)
d)
67.

Find the answer in simplest form.

a)
b)
c)
d)
68.

Find the answer in simplest form.

a)
b)
c)
d)
69.
Find the product. 
a)
2/14
b)
1/49
c)
2/7
d)
1/14
70.
Find the product.  Then, simplify.
a)
2/24
b)
3/24
c)
1/12
d)
3/16
71.
Write in simplest form.
a)
1/4
b)
2/8
c)
6/24
d)
6/32
72.
a)
b)
c)
d)
73.
a)
b)
c)
d)
74.
a)
b)
c)
d)
75.
a)
b)
c)
d)
76.
a)
b)
c)
d)
77.
a)
b)
c)
d)
78.
a)
b)
c)
d)
79.
a)
b)
c)
d)
80.
a)
b)
c)
d)
81.
a)
b)
c)
d)
82.
Find the product:
a)
9/24
b)
9/28
c)
6/32
d)
1/28
83.

Drag and drop the correct answer.

34×37=\frac{3}{4}\times\frac{3}{7}= ​ (a)  

Choose from the below words

928\frac{9}{28}  

911\frac{9}{11}  

611\frac{6}{11}  

628\frac{6}{28}  

16\frac{1}{6}  

15\frac{1}{5}  

38\frac{3}{8}  

27\frac{2}{7}  

212\frac{2}{12}  

310\frac{3}{10}  

84.

Find the product.

a)

60/45

b)

4 / 45

c)

20

d)

45/4

85.
a)
5 1/2
b)
4  7/10
c)
3  1/2
d)
5  1/2
86.
a)
7  1/2
b)
30/49
c)
6  1/2
d)
6  1/14
87.
a)
6  3/20
b)
5  4/9
c)
6  4/15
d)
8  1/4
88.

Write your answer as a mixed number... Simplify your answer as much as possible....

a)

3 1/3

b)

2 2/3

c)

3 2/3

d)

10/3

89.

Multiply the fraction by the whole number: 910×5\frac{9}{10} \times 5 .

a)

45104\frac{5}{10}

b)

92\frac{9}{2}

c)

4124\frac{1}{2}

d)

45\frac{4}{5}

90.

Multiply the mixed numbers: 234×1132\frac{3}{4} \times 1\frac{1}{3} .

a)

3233\frac{2}{3}

b)

38123\frac{8}{12}

c)

37123\frac{7}{12}

d)

3133\frac{1}{3}

91.
Convert to an improper fraction.
a)
8/5
b)
11/5
c)
11/2
d)
2/5
92.
This fraction is:
a)
Proper Fraction
b)
Mixed Number
c)
Improper Fraction
d)
Integer
93.
3 ⅗ x 2 ⅔ =
a)
5 6/15
b)
9 3/5
c)
6 2/5
d)
18/40
94.
¼ × ⅙ =
a)
2/10
b)
1/24
c)
1/10
d)
2/24
95.

⅕ × ⅚ =

Put in simplest terms.

a)

b)

5/30

c)

d)

¾