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Worksheets

Mastering Fractions: Addition and Subtraction

Total questions: 100

Worksheet time: 2hrs 33mins

Name
Class
Date
1.

What is 1/4 + 1/4?

a)

1/2

b)

3/4

c)

1

d)

1/4

2.

What is 3/5 - 1/5?

a)

3/5

b)

2/5

c)

4/5

d)

1/5

3.

Add 2/3 + 1/3.

a)

1

b)

1/2

c)

2/5

d)

3/4

4.

Subtract 5/8 - 3/8.

a)

1/4

b)

2/8

c)

1/2

d)

3/4

5.

What is 1/2 + 1/4 + 1/4?

a)

1

b)

1/8

c)

3/4

d)

1/2

6.

What is 7/10 - 2/10?

a)

3/10

b)

5/10

c)

1/10

d)

1/2

7.

Add 1/6 + 1/6 + 1/6.

a)

1/4

b)

1/2

c)

2/3

d)

1/3

8.

Subtract 4/9 - 2/9.

a)

4/9

b)

2/9

c)

1/9

d)

3/9

9.

What is 1/2 + 1/3? (Provide a simplified answer)

a)

1/4

b)

2/5

c)

3/4

d)

5/6

10.

What is 3/4 - 1/2? (Provide a simplified answer)

a)

1/4

b)

1/3

c)

3/4

d)

1/2

11.

Convert the mixed number 2 1/2 to an improper fraction.

a)

3/2

b)

4/2

c)

2/1

d)

5/2

12.

Convert the mixed number 3 3/4 to an improper fraction.

a)

15/4

b)

9/4

c)

7/4

d)

12/4

13.

Simplify the fraction 8/12.

a)

4/5

b)

2/3

c)

1/2

d)

3/4

14.

Simplify the fraction 15/25.

a)

4/5

b)

1/5

c)

2/5

d)

3/5

15.

What is 5/6 + 1/2? (Provide a simplified answer)

a)

4/3

b)

3/4

c)

1/3

d)

2/3

16.

What is 2/5 + 1/5?

a)

1/5

b)

3/5

c)

4/5

d)

1/2

17.

What is 9/10 - 3/10?

a)

6/10

b)

5/10

c)

4/10

d)

1/10

18.

Simplify the fraction 12/16.

a)

3/4

b)

2/3

c)

4/5

d)

1/2

19.

What do you call the number above the fraction bar?

a)

denominator

b)

numerator

c)

terminator

d)

devisor

20.

What type of fractions are the following?

a)

similar fractions

b)

dissimilar fractions

c)

mixed fractions

d)

unit fractions

21.

The following are examples of _______________ fractions.

a)

similar

b)

dissimilar

c)

mixed

d)

unit

22.

Add and simplify 4/7 and 3/7.

a)

6/7

b)

1

c)

1 4/7

d)

7/49

23.

Add and simplify if needed. 3/4 + 1/8 =

a)

7/8

b)

4/8

c)

7/32

d)

4/32

24.

What is the sum of 68\frac{6}{8} and 58\frac{5}{8}  ?

a)

118\frac{11}{8}  

b)

1116\frac{11}{16}  

c)

1 381\ \frac{3}{8}  

d)

1 181\ \frac{1}{8}  

25.
What is the least common denominator of 1/2 and 3/7?
a)
2
b)
14
c)
7
d)
28
26.

Give the difference of  813\frac{8}{13}  and  513\frac{5}{13} .

a)

813\frac{8}{13}  

b)

313\frac{3}{13}  

c)

513\frac{5}{13}  

d)

1313\frac{13}{13}  

27.

714\frac{7}{14}   -   514\frac{5}{14}   ==  ?

a)

214\frac{2}{14}  

b)

17\frac{1}{7}  

c)

1214\frac{12}{14}  

d)

228\frac{2}{28}  

28.

When can we add or subtract fractions?

a)

We can add or subtract fractions if and only if their denominators are the same.

b)

We can only add or subtract fractions if and only if their numerators are the same.

c)

We can add or subtract fractions if and only if they are dissimilar.

d)

We can add or subtract fractions simply by adding or subtracting their numerators as well as adding or subtracting their denominators.

29.

In the case that the given fractions are dissimilar, how shall we make them similar being the only way to proceed to addition or subtraction of fractions?

a)

Add the denominators together. Whatever is the sum, that will be the denominator for both fractions.

b)

Just choose either of the denominator from both fractions that you wanted as new denominator before you proceed to adding and subtracting the numerators.

c)

Simply find LCD and use such LCD as the new denominator for both fractions. Then find equivalent fractions for each given.

d)

All of the above.

30.
a)

1 4/15

b)

2 5/15

c)

1 5/15

d)

2 4/15

31.

7/8 - 7/12

a)

7/24

b)

1/4

c)

7/12

d)

4/24

32.

In adding or subtracting similar fractions, what should you do in their denominators?

a)

Add or subtract

b)

Copy

c)

Find their LCD

d)

None of these

33.

What is the last step in adding or subtracting fractions?

a)

Find their LCD

b)

Add or subtract the whole number

c)

Copy the denominator

d)

Simplify

34.

The sum of 47124\frac{7}{12}  and  1291\frac{2}{9}  

a)

59185\frac{9}{18}  

b)

5995\frac{9}{9}  

c)

6

d)

1

35.
6  2/4 - 2  2/5=
Simplify/Reduce if needed.
a)
5  2/7
b)
4  2/20
c)
6  1/2
d)
4  1/10
36.
8  2/4 - 3  2/3=
Simplify/Reduce if needed.
a)
5  2/12
b)
4  5/6
c)
11  1/6
d)
8  2/3
37.


2 210+5 15=2\ \frac{2}{10}+5\ \frac{1}{5}=  Reduce if needed.

a)

5 345\ \frac{3}{4}  

b)

7 257\ \frac{2}{5}  

c)

3 353\ \frac{3}{5}  

d)

7 4107\ \frac{4}{10}  

38.

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 1104\ \frac{1}{10}  

39.

Which of the following is the sum of 925 + 1125 +125 =\frac{9}{25}\ +\ \frac{11}{25}\ +\frac{1}{25}\ =  

a)

2125\frac{21}{25}  

b)

2025 or 45\frac{20}{25}\ or\ \frac{4}{5}  

c)

1925\frac{19}{25}  

d)

1825\frac{18}{25}  

40.

What is the missing number in
9 + 39 =79\frac{ }{9}\ +\ \frac{3}{9}\ =\frac{7}{9}  

a)

6

b)

5

c)

4

d)

3

41.

What is the sum of  78 and 34  ?\frac{7}{8}\ and\ \frac{3}{4\ }\ ?  

a)

1032 or 516\frac{10}{32}\ or\ \frac{5}{16}  

b)

2132\frac{21}{32}  

c)

138 or 1 58\frac{13}{8}\ or\ 1\ \frac{5}{8}  

d)

108  or 1 14\frac{10}{8\ }\ or\ 1\ \frac{1}{4}  

42.

What is the difference of 2830 and 1130\frac{28}{30}\ and\ \frac{11}{30} ?

a)

1730\frac{17}{30}  

b)

1630 or 815\frac{16}{30}\ or\ \frac{8}{15}  

c)

1930\frac{19}{30}  

d)

1830 or 915\frac{18}{30}\ or\ \frac{9}{15}  

43.

Which of the following is the difference of 915 and  13 ?\frac{9}{15}\ and\ \ \frac{1}{3}\ ?  

a)

215\frac{2}{15}  

b)

315 or 15\frac{3}{15}\ or\ \frac{1}{5}  

c)

515 or 13\frac{5}{15}\ or\ \frac{1}{3}  

d)

1415\frac{14}{15}  

44.

Mr. Padilla drives 310 km\frac{3}{10}\ km east for delivery A. Then he drives 710km\frac{7}{10}km   north for delivery B. then he drives 910 km\frac{9}{10}\ km   west for delivery C. How far does he drives altogether?

a)

1910 or 1 910\frac{19}{10}\ or\ 1\ \frac{9}{10}  

b)

1012 or 1 15\frac{10}{12}\ or\ 1\ \frac{1}{5}  

c)

1510 or 1 12\frac{15}{10}\ or\ 1\ \frac{1}{2}  

d)

1110 or 1 110\frac{11}{10}\ or\ 1\ \frac{1}{10}  

45.

The cake must be baked for 34 hour.\frac{3}{4}\ hour.  It has been in the oven for 14\frac{1}{4}  of an hour. How much longer does the cake have to bake?

a)

13 hour\frac{1}{3\ }hour  

b)

14 hour\frac{1}{4}\ hour  

c)

12 hour\frac{1}{2}\ hour  

d)

18 hour\frac{1}{8}\ hour  

46.

Mang jose harvested 23\frac{2}{3} of a sack of strawberries. If he sold 25\frac{2}{5}  of a sack of strawberries, what part was left?

a)

215\frac{2}{15}  

b)

315 or 15\frac{3}{15}\ or\ \frac{1}{5}  

c)

415\frac{4}{15}  

d)

5 135\ \frac{1}{3}  

47.

What is the sum if 38 and 18\frac{3}{8}\ and\ \frac{1}{8} are added?

a)

12\frac{1}{2}  

b)

13\frac{1}{3}  

c)

14\frac{1}{4}  

d)

15\frac{1}{5}  

48.

Which is the lowest term of 918\frac{9}{18} ?

a)

34\frac{3}{4}  

b)

12\frac{1}{2}  

c)

36\frac{3}{6}  

d)

39\frac{3}{9}  

49.


85+45= \frac{\text{8}}{\text{5}}+\frac{\text{4}}{\text{5}}=\ _{ }

a)

125\frac{12}{5}

b)

13\frac{1}{3}

c)

615\frac{6}{15}

d)

47\frac{4}{7}

50.

83169=\frac{8}{3}-\frac{16}{9}=

a)

35\frac{3}{5}

b)

219\frac{2}{19}

c)

89\frac{8}{9}

d)

47\frac{4}{7}

51.

2325=\frac{2}{3}-\frac{2}{5}=

a)

35\frac{3}{5}

b)

29\frac{2}{9}

c)

813\frac{8}{13}

d)

415\frac{4}{15}

52.

7856=\frac{7}{8}-\frac{5}{6}=

a)

35\frac{3}{5}

b)

124\frac{1}{24}

c)

89\frac{8}{9}

d)

415\frac{4}{15}

53.

41834=4\frac{1}{8}-\frac{3}{4}=

a)

278\frac{27}{8}

b)

124\frac{1}{24}

c)

89\frac{8}{9}

d)

57\frac{5}{7}

54.

711 \frac{7}{11}\   ++   111\frac{1}{11}  is equal to ________.

a)

822\frac{8}{22}  

b)

811\frac{8}{11}  

c)

911\frac{9}{11}  

d)

1022\frac{10}{22}  

55.

715\frac{7}{15}   ++   315\frac{3}{15}  is equal to ________.

a)

1015 or 23\frac{10}{15}\ or\ \frac{2}{3}  

b)

13\frac{1}{3}  

c)

1030 or 13\frac{10}{30}\ or\ \frac{1}{3}  

d)

33\frac{3}{3}  

56.

13\frac{1}{3}   ++   23\frac{2}{3}  is equal to ________.

a)

1

b)

13\frac{1}{3}  

c)

23\frac{2}{3}  

d)

33\frac{3}{3}  

57.

What is the sum of 68\frac{6}{8} and 58\frac{5}{8}  ?

a)

118\frac{11}{8}  

b)

1116\frac{11}{16}  

c)

1 381\ \frac{3}{8}  

d)

1 181\ \frac{1}{8}  

58.

714\frac{7}{14}   -   514\frac{5}{14}   ==  ?

a)

214\frac{2}{14}  

b)

17\frac{1}{7}  

c)

1214\frac{12}{14}  

d)

228\frac{2}{28}  

59.

Give the difference of  813\frac{8}{13}  and  513\frac{5}{13} .

a)

813\frac{8}{13}  

b)

313\frac{3}{13}  

c)

513\frac{5}{13}  

d)

1313\frac{13}{13}  

60.

24 + 36 =\frac{2}{4}\ +\ \frac{3}{6}\ =  

a)

510 or  12\frac{5}{10}\ or\ \ \frac{1}{2}  

b)

512  \frac{5}{12\ }\  

c)

1212 or 1\frac{12}{12}\ or\ 1  

61.

What is the sum of  78 and 34  ?\frac{7}{8}\ and\ \frac{3}{4\ }\ ?  

a)

1032 or 516\frac{10}{32}\ or\ \frac{5}{16}  

b)

2132\frac{21}{32}  

c)

138 or 1 58\frac{13}{8}\ or\ 1\ \frac{5}{8}  

d)

108  or 1 14\frac{10}{8\ }\ or\ 1\ \frac{1}{4}  

62.

Which of the following is the difference of 915 and  13 ?\frac{9}{15}\ and\ \ \frac{1}{3}\ ?  

a)

215\frac{2}{15}  

b)

315 or 15\frac{3}{15}\ or\ \frac{1}{5}  

c)

515 or 13\frac{5}{15}\ or\ \frac{1}{3}  

d)

1415\frac{14}{15}  

63.

Mang jose harvested 23\frac{2}{3} of a kaing of strawberries. If he sold 25\frac{2}{5}  of a kaing of strawberries, what part was left?

a)

215\frac{2}{15}  

b)

315 or 15\frac{3}{15}\ or\ \frac{1}{5}  

c)

415\frac{4}{15}  

d)

5 135\ \frac{1}{3}  

64.

34+116=\frac{3}{4}+\frac{1}{16}=  

a)

1316\frac{13}{16}  

b)

1416\frac{14}{16}  

c)

1516\frac{15}{16}  

d)

11  

65.

What is the sum of 

23\frac{2}{3}  and  16\frac{1}{6}  ?

a)

36\frac{3}{6}  

b)

46\frac{4}{6}  

c)

56\frac{5}{6}  

d)

47\frac{4}{7}  

66.

Louie had 18\frac{1}{8}  meter of wood for the frame that he is making. His father

gave him 14\frac{1}{4}  meter more. How many meters of wood does he have now?

a)

18\frac{1}{8}  

b)

38\frac{3}{8}  

c)

212\frac{2}{12}  

d)

16\frac{1}{6}  

67.

Jose and Marie bought 34\frac{3}{4}  kilograms of apples and 12\frac{1}{2}  kilograms of oranges. How many kilograms of fruits did they buy in all?

a)

46\frac{4}{6}  

b)

1 141\ \frac{1}{4}  

c)

44\frac{4}{4}  

d)

1421\frac{4}{2}  

68.

True or False

In adding and subtracting fraction it must be similar fraction. If it is dissimilar fraction you need to change it first to similar.

(a)  

69.

34+712=\frac{3}{4}+\frac{7}{12}=  

a)

1121\frac{1}{2}  

b)

1131\frac{1}{3}  

c)

1141\frac{1}{4}  

d)

1151\frac{1}{5}  

70.

67+521=\frac{6}{7}+\frac{5}{21}=  

a)

12211\frac{2}{21}  

b)

12221\frac{2}{22}  

c)

12231\frac{2}{23}  

d)

12241\frac{2}{24}  

71.

615+414=6\frac{1}{5}+4\frac{1}{4}=  

a)

1092010\frac{9}{20}  

b)

1141\frac{1}{4}  

c)

1151\frac{1}{5}  

d)

1161\frac{1}{6}  

72.

34+116=\frac{3}{4}+\frac{1}{16}=  

a)

1316\frac{13}{16}  

b)

1416\frac{14}{16}  

c)

1516\frac{15}{16}  

d)

11  

73.

212+6210=2\frac{1}{2}+6\frac{2}{10}=  

a)

87108\frac{7}{10}  

b)

78107\frac{8}{10}  

c)

97109\frac{7}{10}  

d)

1071010\frac{7}{10}  

74.

5341710=5\frac{3}{4}-1\frac{7}{10}=  

a)

41204\frac{1}{20}  

b)

51205\frac{1}{20}  

c)

61206\frac{1}{20}  

d)

71207\frac{1}{20}  

75.

34610=\frac{3}{4}-\frac{6}{10}=  

a)

220\frac{2}{20}  

b)

320\frac{3}{20}  

c)

420\frac{4}{20}  

d)

520\frac{5}{20}  

76.

1224=\frac{1}{2}-\frac{2}{4}=  

a)

0

b)

1

c)

2

d)

3

77.

834335=8\frac{3}{4}-3\frac{3}{5}=  

a)

41204\frac{1}{20}  

b)

53205\frac{3}{20}  

c)

55205\frac{5}{20}  

d)

42204\frac{2}{20}  

78.

8910412=8\frac{9}{10}-4\frac{1}{2}=  

a)

44104\frac{4}{10}  

b)

4254\frac{2}{5}  

c)

89108\frac{9}{10}  

d)

81108\frac{1}{10}  

79.

13\frac{1}{3}   ++   23\frac{2}{3}  is equal to ________.

a)

1

b)

13\frac{1}{3}  

c)

23\frac{2}{3}  

d)

33\frac{3}{3}  

80.

What is the sum of 68\frac{6}{8} and 58\frac{5}{8}  ?

a)

118\frac{11}{8}  

b)

1116\frac{11}{16}  

c)

1 381\ \frac{3}{8}  

d)

1 181\ \frac{1}{8}  

81.
The number on the top of a fraction is called what?
a)
numerator
b)
denominator
c)
fractionator
d)
equivalent
82.

Give the difference of  813\frac{8}{13}  and  513\frac{5}{13} .

a)

813\frac{8}{13}  

b)

313\frac{3}{13}  

c)

513\frac{5}{13}  

d)

1313\frac{13}{13}  

83.

714\frac{7}{14}   -   514\frac{5}{14}   ==  ?

a)

214\frac{2}{14}  

b)

17\frac{1}{7}  

c)

1214\frac{12}{14}  

d)

228\frac{2}{28}  

84.

Which is not a step in adding similar fraction?

a)

Add the numerators.

b)

Simplify answers.

c)

Write the sum over common denominator.

d)

Find the LCD.

85.

What is missing term in this mathematical sentence; 917\frac{9}{17} -  ______  ==    417\frac{4}{17}  ?

a)

517\frac{5}{17}  

b)

617\frac{6}{17}  

c)

717\frac{7}{17}  

d)

None of the above.

86.

620\frac{6}{20}   ++   720\frac{7}{20}   ==   (a)  

87.

710\frac{7}{10}   -   210\frac{2}{10}   ==   (a)  

88.

Which of the following expression is the best example of adding similar fractions?

a)

19+59+29=n\frac{1}{9}+\frac{5}{9}+\frac{2}{9}=n

b)

25+26+29=n\frac{2}{5}+\frac{2}{6}+\frac{2}{9}=n

c)

812+79+810=n\frac{8}{12}+\frac{7}{9}+\frac{8}{10}=n

89.

Which of the following expression is the best example of adding dissimilar fractions?

a)

19+59+29=n\frac{1}{9}+\frac{5}{9}+\frac{2}{9}=n

b)

25+26+29=n\frac{2}{5}+\frac{2}{6}+\frac{2}{9}=n

c)

810+710+810=n\frac{8}{10}+\frac{7}{10}+\frac{8}{10}=n

90.

The following expressions are correct EXCEPT?

a)

29+49+19=79\frac{2}{9}+\frac{4}{9}+\frac{1}{9}=\frac{7}{9}

b)

27+27+27=27\frac{2}{7}+\frac{2}{7}+\frac{2}{7}=\frac{2}{7}

c)

310+310+310=910\frac{3}{10}+\frac{3}{10}+\frac{3}{10}=\frac{9}{10}

91.
a)

10/16

b)

5/4

c)

21/8

d)

10/16

92.
a)

2

b)

4

c)

5/2

d)

5/4

93.

How do we add mixed number with similar fractions?

a)

Add the whole numbers then add the similar fractions

b)

Add the whole numbers and numerators then copy the common denominator

c)

Copy the whole numbers then add the similar fractions

d)

Copy the similar fractions then add the whole numbers.

94.

13\frac{1}{3}   ++   23\frac{2}{3}  is equal to ________.

a)

1

b)

13\frac{1}{3}  

c)

23\frac{2}{3}  

d)

33\frac{3}{3}  

95.

What is the sum of 68\frac{6}{8} and 58\frac{5}{8}  ?

a)

118\frac{11}{8}  

b)

1116\frac{11}{16}  

c)

1 381\ \frac{3}{8}  

d)

1 181\ \frac{1}{8}  

96.



a)

2/3

b)

2/6

c)

2/9

d)

41/6

97.
a)

8/4

b)

15/4

c)

4

d)

15/2

98.
a)

2

b)

4

c)

5/2

d)

5/4

99.

12535\frac{12}{5}-\frac{3}{5}  

a)

95\frac{9}{5}  

b)

95-\frac{9}{5}  

c)

1251\frac{2}{5}​  

d)

125-1\frac{2}{5}  

100.
a)

1/5

b)

2/10

c)

3/5

d)

6/20