Name: Date:
Page 1 of 4
A Mixed Numbers & Improper Fractions
Convert each mixed number to an improper fraction, or each improper fraction to a mixed number.
Convert to an improper fraction:
234
=
315
=
523
=
458
=
1710
=
612
=
Convert to a mixed number:
114
=
195
=
236
=
173
=
298
=
157
=
B Fraction ↔ Decimal Conversion
Convert each fraction to a decimal, or each decimal to a fraction in simplest form.
Convert to a decimal:
14
=
35
=
710
=
38
=
25
=
920
=
58
=
1125
=
Convert to a fraction in simplest form:
0.5 =
0.75 =
0.2 =
0.35 =
0.125 =
0.6 =
0.08 =
0.45 =
Page 2 of 4
C Add & Subtract — Same Denominator
Add or subtract. Simplify your answer if possible.
27
+ 37
=
59
+ 29
=
16
+ 36
=
78
− 38
=
56
− 16
=
910
− 310
=
45
+ 35
=
1112
− 512
=
34
+ 34
=
310
+ 410
=
711
− 311
=
58
+ 58
=
D Add & Subtract — Different Denominators
Find a common denominator, then add or subtract. Simplify your answer.
12
+ 13
=
23
+ 14
=
35
+ 110
=
34
− 13
=
56
− 14
=
78
− 25
=
16
+ 38
=
49
+ 13
=
56
− 310
=
25
+ 14
=
58
− 13
=
27
+ 13
=
Page 3 of 4
E Multiply Fractions
Multiply. Write your answer in simplest form.
12
× 34
=
23
× 56
=
35
× 27
=
49
× 38
=
56
× 310
=
78
× 45
=
25
× 59
=
34
× 23
=
67
× 712
=
57
× 23
=
411
× 38
=
56
× 49
=
F Divide Fractions
Divide by multiplying by the reciprocal. Simplify your answer.
12
÷ 14
=
34
÷ 12
=
23
÷ 45
=
56
÷ 23
=
45
÷ 310
=
78
÷ 716
=
310
÷ 920
=
59
÷ 13
=
27
÷ 47
=
56
÷ 34
=
710
÷ 35
=
29
÷ 56
=
Page 4 of 4
A Mixed Numbers & Improper Fractions
To improper:
1) 2¾ = 11/4
2) 3⅕ = 16/5
3) 5⅔ = 17/3
4) 4⅝ = 37/8
5) 1 7/10 = 17/10
6) 6½ = 13/2
To mixed:
7) 11/4 = 2¾
8) 19/5 = 3⅘
9) 23/6 = 3⅚
10) 17/3 = 5⅔
11) 29/8 = 3⅝
12) 15/7 = 2 1/7
B Fraction ↔ Decimal Conversion
To decimal:
1) 1/4 = 0.25
2) 3/5 = 0.6
3) 7/10 = 0.7
4) 3/8 = 0.375
5) 2/5 = 0.4
6) 9/20 = 0.45
7) 5/8 = 0.625
8) 11/25 = 0.44
To fraction:
9) 0.5 = 1/2
10) 0.75 = 3/4
11) 0.2 = 1/5
12) 0.35 = 7/20
13) 0.125 = 1/8
14) 0.6 = 3/5
15) 0.08 = 2/25
16) 0.45 = 9/20
C Add & Subtract — Same Denominator
1) 5/7
2) 7/9
3) 2/3
4) 1/2
5) 2/3
6) 3/5
7) 1 2/5
8) 1/2
9) 1 1/2
10) 7/10
11) 4/11
12) 1 1/4
D Add & Subtract — Different Denominators
1) 5/6
2) 11/12
3) 7/10
4) 5/12
5) 7/12
6) 19/40
7) 13/24
8) 7/9
9) 8/15
10) 13/20
11) 7/24
12) 13/21
E Multiply Fractions
1) 3/8
2) 5/9
3) 6/35
4) 1/6
5) 1/4
6) 7/10
7) 2/9
8) 1/2
9) 1/2
10) 10/21
11) 3/22
12) 10/27
F Divide Fractions
1) 2
2) 1 1/2
3) 5/6
4) 1 1/4
5) 2 2/3
6) 2
7) 2/3
8) 1 2/3
9) 1/2
10) 1 1/9
11) 1 1/6
12) 4/15