wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Adding and Subtracting Mixed Numbers

Total questions: 41

Worksheet time: 2hrs 30mins

Name
Class
Date
1.


3 58 +6 12 =3\ \frac{5}{8}\ +6\ \frac{1}{2}\ =  

Answer in simplest form.

a)

9 189\ \frac{1}{8}  

b)

9 689\ \frac{6}{8}  

c)

9 989\ \frac{9}{8}  

d)

10 1810\ \frac{1}{8}  

2.

Convert to an improper fraction

a)
24/4
b)
35/4
c)
11/3
d)
28/3
3.
Complete the equivalent fraction.
a)

10

b)
9
c)
15
d)

20

4.

2910 +6 13=2\frac{9}{10}\ +6\ \frac{1}{3}=  

a)

9 7309\ \frac{7}{30}  

b)

5 495\ \frac{4}{9}  

c)

6 146\ \frac{1}{4}

d)

4 124\ \frac{1}{2}  

5.

6 24 2 25=6\ \frac{2}{4\ }-2\ \frac{2}{5}=  
Reduce if needed.

a)

5 275\ \frac{2}{7}  

b)

4 2204\ \frac{2}{20}  

c)

6 126\ \frac{1}{2}  

d)

4 2104\ \frac{2}{10}  

6.

2/5 + 2/5

a)

1/5

b)

2/5

c)

3/5

d)

4/5

7.

When the denominators are not the same, before adding or subtracting I must find a...

a)

common numerator

b)

common denominator

c)

equivalent fraction

d)

mixed number

8.

When adding or subtracting fractions, I NEVER add or subtract the...

a)

numerators

b)

denominators

c)

mixed numbers

d)

equivalent fractions

9.

When painting his bedroom George used 3 563\ \frac{5}{6}   liters of blue paint and 2 462\ \frac{4}{6}   liters of red paint. How much paint did he use? Simplify if needed.

a)

5 765\ \frac{7}{6} liters

b)

6 126\ \frac{1}{2} liters

c)

1 161\ \frac{1}{6} liters

d)

5 165\ \frac{1}{6} liters

10.

What is another way to write 253\frac{25}{3}  ?

a)

8 13\frac{1}{3}  

b)

9 23\frac{2}{3}  

c)

8 23\frac{2}{3}  

d)

7 23\frac{2}{3}  

11.

Is the following equation True or False?

10 25\frac{2}{5}   + 5 15\frac{1}{5}   = 15 310\frac{3}{10}  

a)

True

b)

False

12.

Is the following equation True or False?

5 38\frac{3}{8}   + 3583\frac{5}{8}  = 9

a)

True

b)

False

13.
4   1/3   + 2  1/3
a)
6  1/3
b)
6  2/3
c)
6  2/6
d)
7  2/3
14.

Choose the symbol to compare the fractions.

a)

>

b)

<

c)

=

15.

Match the fraction 175\frac{17}{5} with its equivalent mixed number.

a)

6

b)

5235\frac{2}{3}  

c)

3253\frac{2}{5}  

d)

5565\frac{5}{6}  

16.

Are 56\frac{5}{6}  and 2024\frac{20}{24}  equivalent?

a)

YES

b)

NO

17.

Add or subtract to solve.

a)

112\frac{1}{12}  

b)

1115\frac{11}{15}  

c)

17151\frac{7}{15}  

d)

3233\frac{2}{3}  

18.

Add or subtract to solve.

a)

112\frac{1}{12}  

b)

1712\frac{17}{12}  

c)

15121\frac{5}{12}  

d)

3233\frac{2}{3}  

19.

the answer to a subtraction problem

a)

sum

b)

difference

c)

product

d)

quotient

20.

the answer to an addition problem

a)

sum

b)

difference

c)

product

d)

quotient

21.

2 210+5 15=2\ \frac{2}{10}+5\ \frac{1}{5}=  

a)

7 4107\ \frac{4}{10}  

b)

7 2107\ \frac{2}{10}  

c)

7 3307\ \frac{3}{30}  

d)

7 4207\ \frac{4}{20}  

22.

What do you call two fractions that have equal values?

a)

Equivalent fractions

b)

Mixed fractions

c)

Improper fractions

d)

Whole fractions

23.
Which fraction is equivalent to one half?
a)
2/5
b)
2/3
c)

7/14

d)
4/6
24.
Which of the following is an equivalent fraction to 5/6?
a)
9/12
b)
10/12
c)
8/12
d)
14/18
25.

27+37=?\frac{2}{7}+\frac{3}{7}=?  

a)

47\frac{4}{7}  

b)

57\frac{5}{7}  

c)

1

d)

614\frac{6}{14}  

26.

IN THE FRACTION 58\frac{5}{8}  , 8 IS CALLED ______

a)

denominator

b)

numerator

27.

  Bob purchased 38\frac{3}{8}   kg apples and 28\frac{2}{8}   kg oranges. What is the total weight of fruits purchased by him?

a)

58\frac{5}{8}  kg

b)

17\frac{1}{7}  kg

c)

78\frac{7}{8}  kg

28.

How do you say the fraction shaded green?

a)

two thirds

b)

three fourths

c)

four thirds

d)

one fourth

29.

What fraction is unshaded?

a)

14\frac{1}{4}  

b)

13\frac{1}{3}  

c)

24\frac{2}{4}  

d)

34\frac{3}{4}  

30.

Which of the following fractions are equivalent?

a)

12=25\frac{1}{2}=\frac{2}{5}  

b)

34=812\frac{3}{4}=\frac{8}{12}  

c)

13=312\frac{1}{3}=\frac{3}{12}  

d)

23=69\frac{2}{3}=\frac{6}{9}  

31.

Find the equivalent fraction. What is the missing number? 45=?10\frac{4}{5}=\frac{?}{10}  

(a)  

32.
Which is NOT an equivalent fraction to one half?
a)
2/4
b)
2/3
c)
4/8
d)
3/6
33.
Which of these numbers could NOT be a common denominator for these two fractions?
1/6   and   1/4
a)
12
b)
18
c)
24
d)
36
34.
What is the least common denominator of 1/4 and 1/3?
a)
4
b)
3
c)
12
d)
8
35.
What is the least common denominator of 1/4 and 2/5?
a)
5
b)
25
c)
10
d)
20
36.

378=3-\frac{7}{8}=  

a)

1/8

b)

2 1/8

c)

1 1/8

d)

2 7/8

37.

52 57=5-2\ \frac{5}{7}=  

a)

2 2/7

b)

3 2/7

c)

3 1/7

d)

2 5/7

38.

3 382=3\ \frac{3}{8}-2=  

a)

1 3/8

b)

1 5/8

c)

2 5/8

d)

2 3/8

39.

4 56+3=4\ \frac{5}{6}+3=  

a)

7 5/6

b)

1 1/6

c)

1/6

d)

8 1/6

40.

When a math problem says make sure the fractions are "like units" before you add or subtract them, what does "like units" mean?

a)

That they "like" each other. They are friendly.

b)

That they are equivalent fractions.

c)

That they have common denominators; meaning same or alike.

d)

That the numerators are the same; alike each other.

41.

A mixed number is _______________________.

a)

a confused number

b)

when the numerator and denominator are the same

c)

a whole number and a fraction

d)

when the numerator is bigger than the denominator