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Worksheets

Operations With Fractions And Mixed Numbers

Total questions: 68

Worksheet time: 6hrs 40mins

Name
Class
Date
1.
a)
5/14
b)
3/7
c)
5/7
d)
5/14
2.
a)
3/8
b)
3/16
c)
1/8
d)
2/8
3.
Complete the equivalent fraction.
a)
6
b)
9
c)
15
d)
23
4.
Solve.  2/3 + 7/12
a)
3/5
b)
9/15
c)
15/12
d)
5/12
5.
6  2/5 + 4  1/5 =
a)
10  4/5
b)
10  3/5
c)
10  1/5
d)
10
6.
8/10 + 3/5
a)
11/15
b)
1 1/5
c)
14/15
d)
1 4/10
7.
3/6 + 10/12
a)
1 1/12
b)
13/18
c)
1 4/12
d)
13/12
8.

What is the lowest common denominator of 1/9 and 2/3?

a)
6
b)
3
c)
9
d)
21
9.
3/4 + 2/8 = 
a)
1
b)
5/12
c)
6/32
d)
5/8
10.
a)
1
b)
3/6
c)
1/2
d)
2
11.
a)
2/5
b)
5/6
c)
4/6
d)
1/5
12.
a)
14/16
b)
7/8
c)
8/7
d)
4/10
13.
1/2  +  1/2
a)
17
b)
16
c)
14  1/2
d)
16  1/2
14.
5  5/6 + 2  3/4=
Reduce if needed.
a)
5  2/3
b)
7  19/12
c)
4  1/2
d)
8  7/12
15.
2  2/3 + 9  4/5=
Reduce if needed.
a)
12  7/15
b)
11  22/15
c)
9  1/3
d)
5  1/2
16.
5  1/6 + 8  8/9=
Reduce if needed.
a)
14  1/18
b)
13  1/18
c)
13  19/18
d)
4  1/5
17.
7  4/7 - 5  2/7 =
a)
2  2/7
b)
2  6/7
c)
12  6/7
d)
2  1/7
18.
a)
6   4/10
b)
6
c)
12    8/10
d)
5    8/10
19.
a)
5 7/12
b)
4 7/12
c)
5 5/12
d)
4 5/12
20.
a)
2  3/4
b)
2  8/9
c)
3  1/2
d)
5  1/2
21.
6  - 2  4/5
a)
4  4/5
b)
3  9/5
c)
3  1/5
22.
a)
5 1/1 = 6
b)
5 1/12
c)
4 11/12
d)
5 11/12
23.
a)
4  2/3
b)
3  4/5
c)
5  2/7
d)
5  1/6
24.
5  - 2  3/4
a)
2  2/4
b)
3  3/4
c)
2  1/4
25.
3/4  -  1/2
a)
1/3
b)
1/4
c)
2/3
d)
1/5
26.
1/2  -  1/8
a)
5/8
b)
2/5
c)
3/8
d)
5/6
27.
8/15  -  1/6
a)
2/3
b)
7/15
c)
8/11
d)
11/30
28.
⅙ × ⅓ =
a)
1/3
b)
1/18
c)
2/9
d)
1/9
29.
1 ¼ × 2 ¾ =
a)
3 7/16
b)
1/2
c)
3/16
d)
4 1/4
30.
¾ × ⅝
a)
15/32
b)
1 1/10
c)
5/6
d)
2/3
31.
3 ⅗ x 2 ⅔ =
a)
5 6/15
b)
9 3/5
c)
6 2/5
d)
18/40
32.

Lori is baking cookies. Her recipe calls for 2/3 of a cup of milk.  Lori decides she wants to triple the recipe.  How many liters of milk is needed?

a)
2/9
b)
4 ½
c)
1
d)
2
33.

A section of Benji's lawn is a rectangle that measures 5 1/2 meters by 8 meters.  How many square meters does Benji have to mow?

a)
40 ½
b)
35
c)
11/16
d)
44
34.
12 x ⅓ =
a)
4
b)
36
c)
d)
1/36
35.
5 x ¼ =
a)
b)
1 ¼
c)
¾
d)
20
36.
15 x ½ =
a)
30
b)
2/15
c)
7 ½
d)
37.
2 3/4 × 12 =
a)
33
b)
24 3/4
c)
24 1/3
d)
120
38.

Jack ran  3  1/3 km on Monday.  He ran four times as far on Friday.  How far did Jack run on Friday?  

a)
12  2/3 miles
b)
12  1/3 miles
c)
13  1/3 miles
d)
13  2/3 miles
39.
Change 5  3/4 into an improper fraction
a)
23/4
b)
4/23
c)
20/4
d)
5 4/3
40.
What is the reciprocal of 5?
a)
5/1
b)
1/5
41.
4/9  ÷  1/2
a)
8/9
b)
5/11
c)
6/10
d)
4/18
42.
1/4  ÷  2/5
a)
5/8
b)
2/20
c)
1/10
d)
3/9
43.

Valerie bought a 9 m piece of ribbon from which she wants to cut into 2/3 m pieces. How many 2/3 m pieces can Valerie cut?

a)
13
b)
6
c)
9
d)
This is not possible.
44.
5 ÷ ⅕
a)
b)
1/25
c)
5
d)
25
45.
2 ¼ ÷ 4 ⅕ =
a)
11/26
b)
c)
d)
15/28
46.
.
a)
88/60
b)
48/110
c)
24/55
47.
1 ½ ÷ ½ =
a)
b)
1 ¼
c)
3
d)
3/4
48.
a)
187/48
b)
22/25
c)
44/51
d)
88/102
49.
a)
2  1/5
b)
2  4/15
c)
6  8/15
d)
  1  1/5
50.
Change the mixed number to an improper fraction
a)
29/8
b)
24/8
c)
16/6
d)
55/8
51.
.
a)
88/60
b)
48/110
c)
24/55
52.
a)
12  1/2
b)
8  12/35
c)
8  4/15
d)
10
53.
5/9 divided by 10
a)
1/18
b)
5 5/9
c)
5/90
d)
10
54.
¼ × ⅚ =
a)
1/4
b)
6/20
c)
5/24
d)
3/20
55.
1 ¼ × 2 ¾ =
a)
3 7/16
b)
1/2
c)
3/16
d)
4 1/4
56.
3 ⅗ x 2 ⅔ =
a)
5 6/15
b)
9 3/5
c)
6 2/5
d)
18/40
57.
4 ¾  ÷  1 ½
a)
3/8
b)
6/8
c)
32/9
d)
48/6
58.
7/9  ÷  1/2
a)
14/9
b)
14/9
c)
8/11
d)
1  5/9
59.
6 ÷ ⅓ =
a)
½
b)
18
c)
2
d)
9
60.
3  2/5 =
a)
17/5
b)
3 1/2
c)
19/5
d)
32/5
61.
10  1/4 =
a)
21/4
b)
11/4
c)
40/4
d)
41/4
62.
1  2/5 =
a)
3/5
b)
12/5
c)
5/7
d)
7/5
63.
3  1/7 =
a)
10/7
b)
31/7
c)
22/7
d)
3/7
64.
What items do you multiply?
a)
numerator and whole number
b)
denominator and whole number
c)
denominator and numerator
d)
no multiplying
65.
What item do you add to the product found?
a)
fraction
b)
denominator
c)
numerator
d)
whole number
66.
What part of the mixed number do you KEEP in an improper fraction?
a)
numerator
b)
denominator
c)
whole number
d)
don't keep anything
67.
Convert into an improper fraction.
a)
28/7
b)
29/4
c)
29/7
d)
7/1
68.
Convert into an improper fraction.
a)
43/10
b)
22/10
c)
17/3
d)
30/4