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Adding fraction with unlike denominators

Total questions: 97

Worksheet time: 10hrs 51mins

Name
Class
Date
1.
What must you have to add and subtract fractions?
a)
Common numerators
b)
Different numerators
c)
Different denominators
d)
Common denominators
2.

What is a good common denominator for this problem? 

39+16\frac{3}{9}+\frac{1}{6}  

a)

18

b)

9

c)

24

d)

12

3.

What is a good common denominator for this problem?

18+56\frac{1}{8}+\frac{5}{6}  

a)

24

b)

18

c)

32

d)

16

4.

Billy ate  14\frac{1}{4}  of a pizza and Felicity ate 14\frac{1}{4}  of the pizza. How much pizza did they eat in all?

a)

12\frac{1}{2}  

b)

58\frac{5}{8}  

c)

34\frac{3}{4}  

5.

What number could be a common denominator for these three fractions?


12 and 13 and 14\frac{1}{2}\ and\ \frac{1}{3}\ and\ \frac{1}{4}  

a)

9

b)

8

c)

12

d)

6

6.

Which of these numbers could NOT be a common denominator for these two fractions?

16 and 14\frac{1}{6}\ and\ \frac{1}{4}  

a)

12

b)

18

c)

24

d)

36

7.

12+14=\frac{1}{2}+\frac{1}{4}=  

a)

34\frac{3}{4}  

b)

24\frac{2}{4}  

c)

36\frac{3}{6}  

d)

26\frac{2}{6}  

8.

 James is helping his dad paint his house. They mixed 59\frac{5}{9} gallons of white paint and  16\frac{1}{6}  gallons of blue pain. How many gallons was the mixture in all? 

a)

618\frac{6}{18}   gallons

b)

1318\frac{13}{18}   gallons

c)

45\frac{4}{5}   gallons

d)

16\frac{1}{6}   gallons

9.

14+23\frac{1}{4}+\frac{2}{3}  

a)

312\frac{3}{12}  

b)

34\frac{3}{4}  

c)

1112\frac{11}{12}  

d)

37\frac{3}{7}  

10.

512+16\frac{5}{12}+\frac{1}{6}  

a)

618\frac{6}{18}  

b)

612\frac{6}{12}  

c)

34\frac{3}{4}  

d)

712\frac{7}{12}  

11.
What is a  numerator?
a)
a whole number
b)
top number in a fraction
c)
bottom number in the fraction
d)
the term for a larger top number than bottom number
12.

13+39 \frac{1}{3}+\frac{3}{9}\  in simplest form (you must simplify your answer!)

a)

69\frac{6}{9}  

b)

13\frac{1}{3}  

c)

23\frac{2}{3}  

d)

49\frac{4}{9}  

13.

Write the mixed number as an improper fraction

5 6/7

(a)  

14.

Write the mixed number as an improper fraction

3 4/9

(a)  

15.

Write the mixed number as an improper fraction

4 5/8

(a)  

16.

Write the mixed number as an improper fraction

4 5/8

(a)  

17.
a)
1
b)
3
c)
9
d)
8
18.

Write the improper fraction as a mixed number

12/4

a)

3 3/4

b)

3 1/4

c)

3

d)

4

19.

Which symbol is correct for these two fractions?

a)

>

b)

<

c)

=

20.

What fractions corresponds with point C

a)

4/2

b)

1 3/8

c)

9/4

d)

1/2

e)

3 3/4

21.
Convert to a mixed number.
a)
2 2/5
b)
1  7/5
c)
7  1/5
22.

Write the improper fraction as a mixed number

22/3

a)

7 2/3

b)

7 1/3

c)

7 1/4

d)

7 3/4

23.

Write the improper fraction as a mixed number

36/4

a)

9 1/4

b)

9 3/4

c)

8 4/4

d)

9

24.

Write the improper fraction as a mixed number

23/5

a)

4 3/5

b)

4 5/3

c)

5 3/4

d)

4 3/4

25.

SUBTRACTION MIXED FRACTION

9 7/8 - 2 5/8

a)

7 2/8

b)

2 8/8

c)

7 1/4

d)

3 2/8

26.

What do you need to have when adding unlike fractions

a)

common denominator

b)

common numerator

c)

common numerator and denominator

d)

common fractions

27.

3/10 X 2/4

a)

5/14

b)

3/20

c)

6/14

d)

6/40

28.

Which symbol is correct for these two fractions?

a)

>

b)

<

c)

=

29.

What fractions corresponds with point C

a)

4/2

b)

1 3/8

c)

9/4

d)

1/2

e)

3 3/4

30.

Write the improper fraction as a mixed number

36/4

a)

9 1/4

b)

9 3/4

c)

8 4/4

d)

9

31.

Which symbol is correct for these two fractions?

a)

>

b)

<

c)

=

32.

What fractions corresponds with point C

a)

4/2

b)

1 3/8

c)

9/4

d)

1/2

e)

3 3/4

33.
a)
12/17
b)
17/20
c)
20/17
d)
2  1/2
34.
a)
9  5/7
b)
5  2/3
c)
10  1/5
d)
11  5/6
35.
a)
14  17/30
b)
13 47/30 
c)
1/2
d)
15  2/3
36.
Convert into an improper fraction.
a)
15/2
b)
10/5
c)
17/5
d)
11/2
37.
Convert into an improper fraction.
a)
28/7
b)
29/4
c)
29/7
d)
7/1
38.
Convert the mixed fraction to a improper fraction.
a)
30 /8
b)
32 /8
c)
34 /8
d)
28 /8
39.
a)
1
b)
3/6
c)
1/2
d)
2
40.
a)
2/5
b)
5/6
c)
4/6
d)
1/5
41.
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
42.
What number could be a common denominator for these two fractions?
1/5   and   5/6?
a)
30
b)
11
c)
6
d)
5
43.
a)
13/15
b)
1 7/12
c)
1
d)
9/15
44.
a)
- 3/56
b)
18/56
c)
- 4/15
d)
29/56
45.
Is this a correct answer?
a)
Yes, the student correctly added.
b)
No, you cannot add unlike denominators
c)
No, 5 + 7 is not 12
d)
No, 2 + 3 is not 5
46.
a)
12/17
b)
17/20
c)
20/17
d)
2  1/2
47.
a)
2/5
b)
5/6
c)
4/6
d)
1/5
48.
What number could be a common denominator for these two fractions?
1/5   and   5/6?
a)
30
b)
11
c)
6
d)
5
49.
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
50.

a)

22/20

b)

11/10

c)

1 1/12

d)

1 10/11

51.
a)
4/9
b)
1/4
c)
3/12
d)
5/9
52.

3/8 + 2/4 =

a)

5/12

b)

5/8

c)

7/8

d)

6/8

53.
2/6 + 1/2 =
a)
5/6
b)
3/6
c)
4/6
d)
3/8
54.
1/4 + 3/8 =
a)
5/8
b)
3/8
c)
4/12
d)
4/8
55.

4/8 + 1/3 =

a)

5/11

b)

4/8

c)

20/24

d)

4/11

56.

Aden is helping his dad paint his house. They mixed 5/9 gallons of white paint and 1/6 gallons of blue paint. How many gallons was the mixture in all?

a)

6/18 gallons

b)

13/18 gallons

c)

4/5 gallons

d)

1/6 gallons

57.

5/10 + 8/5

a)

5/9

b)

1/10

c)

21/10

d)

22/10

58.

1 1/2 + 1/4 =

a)

1 1/4

b)

1 2/4

c)

3/6

d)

1 3/4

59.

1/18 + 5/6 =

a)

15/19

b)

16/19

c)

16/18

d)

15/18

60.

3/7 + 6/14 =

a)

5/7

b)

12/14

c)

13/14

d)

15/14

61.

Find the Least Common Multiple of 8 and 12.

4 lines
62.


16 + 25\frac{\text{1}}{\text{6}}\ +\ \frac{2}{5}  

4 lines
63.

12 + 27\frac{1}{2}\ +\ \frac{2}{7}  

4 lines
64.

Convert



1712\frac{17}{12}

to a mixed number

4 lines
65.

25  + 56\frac{2}{5\ }\ +\ \frac{5}{6}  

4 lines
66.

16 + 58\frac{1}{6}\ +\ \frac{5}{8}  

4 lines
67.

34 + 512\frac{3}{4}\ +\ \frac{5}{12}  

Be sure to check if the sum is an improper fraction.  If it is improper, convert it to a mixed number. 

4 lines
68.

Choose 2 possible common denominators for these fractions.

5/6 and 3/8.

a)

24

b)

18

c)

48

d)

36

e)

56

69.

Why is 24 a better choice for a common denominator than 48?

(a)  

70.

If you are adding the fractions ⅕ + ¾ , the LCM is 20. What are the new, equivalent fractions.

a)

120+320\frac{1}{20}+\frac{3}{20}  

b)

420+1520\frac{4}{20}+\frac{15}{20}  

c)

1020+1520\frac{10}{20}+\frac{15}{20}  

d)

420+1220\frac{4}{20}+\frac{12}{20}  

71.

Find the common denominator and equivalent fractions for this equation.

45+13\frac{4}{5}+\frac{1}{3}  

4 lines
72.

Find the common denominator and equivalent fractions for this equation.

27+23\frac{2}{7}+\frac{2}{3}  

4 lines
73.

14+23=\frac{1}{4}+\frac{2}{3}=  

4 lines
74.

34+56=\frac{3}{4}+\frac{5}{6}=  

4 lines
75.

45+56=\frac{4}{5}+\frac{5}{6}=  

a)

930\frac{9}{30}  

b)

2524\frac{25}{24}  

c)

4930\frac{49}{30}  

d)

911\frac{9}{11}  

76.

14+56=\frac{1}{4}+\frac{5}{6}=  

a)

2624\frac{26}{24}  

b)

1312\frac{13}{12}  

c)

624\frac{6}{24}   

d)

610\frac{6}{10}  

77.

34+25=\frac{3}{4}+\frac{2}{5}=  

a)

620\frac{6}{20}  

b)

69\frac{6}{9}  

c)

1914\frac{19}{14}  

d)

2120\frac{21}{20}  

78.

14+38=\frac{1}{4}+\frac{3}{8}=  

a)

48\frac{4}{8}  

b)

58\frac{5}{8}  

c)

75\frac{7}{5}  

d)

412\frac{4}{12}  

79.

23+19=\frac{2}{3}+\frac{1}{9}=  

a)

79\frac{7}{9}  

b)

312\frac{3}{12}  

c)

54\frac{5}{4}  

d)

327\frac{3}{27}  

80.

What is 1/4 + 2/4?

a)

3/4

b)

1/4

c)

4/4 (or 1)

d)

2/4

81.


1217 517\frac{12}{17\ }-\frac{5}{17}  

a)

4/17

b)

7/17

c)

2/17

d)

9/17

82.

What is the Least Common Denominator?

15+210\frac{1}{5}+\frac{2}{10}  

a)

5

b)

10

c)

15

d)

20

83.


What is the Least Common Denominator?


34+13\frac{3}{4}+\frac{1}{3}  

a)

3

b)

4

c)

12

d)

16

84.


Solve the following practice problem. 

15+12\frac{1}{5}+\frac{1}{2}  


a)

710\frac{7}{10}

b)

48\frac{4}{8}  

c)

67\frac{6}{7}  

d)

89\frac{8}{9}  

85.

Solve the following practice problem. 

29+13\frac{2}{9}+\frac{1}{3}  

a)

39\frac{3}{9}  

b)

89\frac{8}{9}  

c)

59\frac{5}{9}  

d)

37\frac{3}{7}  

86.

13 + 14 = \frac{1}{3}\ +\ \frac{1}{4}\ =\  

a)

27\frac{2}{7}  

b)

712\frac{7}{12}  

c)

112\frac{1}{12}  

d)

1112\frac{11}{12}  

87.

38 + 14 =\frac{3}{8}\ +\ \frac{1}{4}\ =

a)

1116\frac{11}{16}  

b)

332\frac{3}{32}  

c)

58\frac{5}{8}  

d)

412\frac{4}{12}  

88.

16 + 38 =\frac{1}{6}\ +\ \frac{3}{8}\ =  

a)

1324\frac{13}{24}  

b)

414\frac{4}{14}  

c)

27\frac{2}{7}  

d)

348\frac{3}{48}  

89.

716 + 14 =\frac{7}{16}\ +\ \frac{1}{4}\ =  

a)

764\frac{7}{64}  

b)

1316\frac{13}{16}  

c)

820\frac{8}{20}  

d)

25\frac{2}{5}  

90.

310  +  35 =\frac{3}{10\ }\ +\ \ \frac{3}{5}\ =  

a)

950\frac{9}{50}  

b)

25\frac{2}{5}  

c)

910\frac{9}{10}  

d)

615\frac{6}{15}  

91.

12 + 29 =\frac{1}{2}\ +\ \frac{2}{9}\ =  

a)

218\frac{2}{18}   

b)

318\frac{3}{18}  

c)

19\frac{1}{9}  

d)

1318\frac{13}{18}  

92.

1120 + 25 = \frac{11}{20}\ +\ \frac{2}{5}\ =\  

a)

1920\frac{19}{20}  

b)

  1325\frac{13}{25}  

c)

22100\frac{22}{100}  

d)

910\frac{9}{10}  

93.

37 + 25 =\frac{3}{7}\ +\ \frac{2}{5}\ =  

a)

512\frac{5}{12}  

b)

635\frac{6}{35}  

c)

3035\frac{30}{35}  

d)

2935\frac{29}{35}  

94.

312 + 58 =\frac{3}{12}\ +\ \frac{5}{8}\ = Simplify. 

a)

2124\frac{21}{24}  

b)

78\frac{7}{8}  

c)

820\frac{8}{20}  

d)

25\frac{2}{5}  

95.

Of the soccer balls in the gym storage closet, 1/12 are yellow and  5/8 are white. What fraction of the soccer balls are yellow or white?

a)

520\frac{5}{20}  

b)

14\frac{1}{4}  

c)

1724\frac{17}{24}  

d)

620\frac{6}{20}  

96.

Rashid planted squash in 1/3 of his garden. He planted tomatoes in 2/5 of his garden. What fraction of Rashid’s garden is squash or tomatoes?

a)

1015\frac{10}{15}

b)

23\frac{2}{3}

c)

1215\frac{12}{15}

d)

1115\frac{11}{15}

97.

Nan bought two kinds of cheese. She bought 1/2 pound of Swiss and 3/8 pound of cheddar. How much cheese did she buy altogether?

a)

78\frac{7}{8}

b)

68\frac{6}{8}

c)

34\frac{3}{4}

d)

58\frac{5}{8}