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Worksheets

Multiplying and Dividing with Mixed numbers

Total questions: 40

Worksheet time: 1hrs 19mins

Name
Class
Date
1.

Which of these is the first step when multiplying or dividing mixed numbers?

a)

Find a common denominator

b)

Leave, Change, Flip

c)

Multiply the numerators together

d)

Convert to improper fractions

2.

45 × 79\frac{4}{5}\ \times\ \frac{7}{9}  

a)

1114\frac{11}{14}  

b)

2145\frac{21}{45}  

c)

3635\frac{36}{35}  

d)

2845\frac{28}{45}  

3.

134 × 51\frac{3}{4}\ \times\ 5  

a)

5345\frac{3}{4}  

b)

8348\frac{3}{4}  

c)

115201\frac{15}{20}  

d)

6346\frac{3}{4}  

4.

125 × 2131\frac{2}{5}\ \times\ 2\frac{1}{3}  

a)

32153\frac{2}{15}  

b)

33153\frac{3}{15}  

c)

34153\frac{4}{15}  

d)

35153\frac{5}{15}  

5.

34 ÷ 78\frac{3}{4}\ \div\ \frac{7}{8}

a)

2132\frac{21}{32}  

b)

2428\frac{24}{28}

c)

111211\frac{11}{21}  

d)

14241\frac{4}{24}  

6.

2 ÷ 132\ \div\ \frac{1}{3}  

a)

23\frac{2}{3}  

b)

6

c)

1121\frac{1}{2}

d)

16\frac{1}{6}  

7.

434 ÷ 1124\frac{3}{4}\ \div\ 1\frac{1}{2}  

a)

4384\frac{3}{8}  

b)

857\frac{8}{57}  

c)

16161\frac{6}{16}  

d)

32123\frac{2}{12}  

8.

Mixed numbers need to be changed into improper fractions in order to multiply or divide.

a)

True

b)

False

c)

what's an improper fraction?

9.

Convert the mixed number into an improper fraction.

a)

26/7

b)

44/7

c)

15/7

d)

84/7

10.

What will the two numerators be after converting the mixed numbers to improper fractions?

a)

31 and 13

b)

136 and 9

c)

23 and 10

d)

49 and 15

11.

Which is equivalent to the problem shown?

a)
b)
c)
d)
12.

Find the product.

a)

1 5/6

b)

4 2/3

c)

2 1/3

d)

3 1/6

13.

Find the quotient.

a)

4 3/4

b)

1 3/4

c)

6 11/16

d)

2 11/12

14.

Change to a mixed number or a whole number.

223\frac{22}{3}  

a)

7 137\ \frac{1}{3}  

b)

5 135\ \frac{1}{3}  

c)

2 122\ \frac{1}{2}  

15.

Change to a mixed number or a whole number.

844\frac{84}{4}  

a)

21

b)

22

c)

23

16.

Change to a mixed number or a whole number.

957\frac{95}{7}  

a)

13 4713\ \frac{4}{7}  

b)

12 4712\ \frac{4}{7}  

c)

11 4711\ \frac{4}{7}  

17.

Change to a mixed number or a whole number.

648\frac{64}{8}  

a)

8

b)

4

c)

2

18.

Change to a mixed number or a whole number.

889\frac{88}{9}  

a)

9 799\ \frac{7}{9}  

b)

2 292\ \frac{2}{9}  

c)

3 193\ \frac{1}{9}  

19.

Change to a mixed number or a whole number.

1058\frac{105}{8}  

a)

13 1813\ \frac{1}{8}  

b)

12 2812\ \frac{2}{8}  

c)

3 2103\ \frac{2}{10}  

20.

Convert this mixed number to an improper fraction.

a)

245\frac{24}{5}


b)

105\frac{10}{5}

c)

305\frac{30}{5}

d)

345\frac{34}{5}

21.

Convert this mixed number to an improper fraction.

a)

115\frac{1}{15}

b)

1515\frac{15}{15}

c)

1615\frac{16}{15}

d)

215\frac{2}{15}

22.


Write  613 as an improper fraction.Write\ \ 6\frac{1}{3}\ as\ an\ improper\ fraction.  

a)

313\frac{3}{13}  

b)

183\frac{18}{3}  

c)

193\frac{19}{3}  

d)

123\frac{12}{3}  

23.

Convert 16101\frac{\text{6}}{\text{10}}  to an improper fraction.

a)

1610\frac{\text{16}}{\text{10}}  

b)

1710\frac{\text{17}}{\text{10}}  

c)

166\frac{\text{16}}{\text{6}}  

d)

176\frac{\text{17}}{\text{6}}  

24.

Convert 1351\frac{\text{3}}{\text{5}}  to an improper fraction.

a)

85 \frac{8}{5\ }  

b)

95\frac{9}{5}  

c)

63\frac{6}{3}  

d)

155\frac{15}{5}  

25.

Simplify 1525\frac{15}{25}  

a)

12\frac{1}{2}  

b)

35\frac{3}{5}  

c)

25\frac{2}{5}  

d)

Cannot be simplified

26.

When the numerator is greater than or equal to the denominator is called____

a)

proper fraction

b)

improper fraction

c)

mixed number

d)

all of the above

27.

When converting a mixed number into an improper fraction, you ___ the whole number by the denominator and then add the numerator.

a)

add

b)

subtract

c)

multiply

d)

divide

28.

Convert this mixed number to an improper fraction.

a)

359\frac{35}{9}

b)

369\frac{36}{9}

c)

248\frac{24}{8}

d)

279\frac{27}{9}

29.

Joe is making a birdhouse. He uses 3  1/2 feet of lumber. Write this length as an improper fraction.

312 = ?3\frac{1}{2}\ =\ ?  

a)

12\frac{1}{2}  

b)

6

c)

72\frac{7}{2}  

d)

62\frac{6}{2}  

30.

Jody is knitting a scarf. She needs 4 6/7  feet of yarn. Write this number as an improper fraction.

4 67 = ?4\ \frac{6}{7}\ =\ ?  

a)

347\frac{34}{7}  

b)

34

c)

344\frac{34}{4}  

d)

177\frac{17}{7}  

31.
a)
1/5
b)
12/72
c)
7/17
d)
1/6
32.
a)
1/21
b)
4/84
c)
1/10
d)
1/28
33.
a)
2  2/11
b)
8/33
c)
1  10/11
d)
2/8
34.
a)
2/45
b)
1  3/4
c)
10/45
d)
1  1/9
35.

About 710\frac{7}{10}  of the human body is water. How many pounds of water are in a person weighing 120 pounds?

a)

84 pounds

b)

100 pounds

c)

150 pounds

d)

96 pounds

36.

Bella has 32 songs on her iphone. Three-eighths of those songs are by Justin Timberlake. How many Justin Timberlake songs does Bella have on her iphone?

a)

12 songs

b)

15 songs

c)

9 songs

d)

18 songs

37.
There are 28 students in a math class. ⁴⁄₇ of the students were boys. How many boys were in the math class?
a)
16 boys
b)
12 girls
c)
14 girls
d)
12 boys
38.
2 ÷ 1∕4 =
a)
1/8
b)
8
c)
12
d)
1/12
39.
Maddy has 2 cakes that she cuts into eighths. How many 1/8 size pieces does she have?
a)
16
b)
10
c)
2
d)
4
40.
Brenda has 5/6 of a pie to divide evenly amount 4 people. What fraction of a pie does each person get?
a)
3/10
b)
1/4
c)
5/24
d)
1/6