Finding Repeating Decimals Worksheet With Answer Key
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1
2Name:
Finding Repeating Decimals
Determine if each problem when converted to a decimal will result in a repeating (R) or
A n s w e r s
terminating (T) decimal.
R
A fraction will result in a terminating decimal if the prime factors of the
1.
simplified denominator contain only 2s or 5s (or only 2s and 5s).
⁄
⁄
T
6
3
2.
=
= 2×2×5 = 0.15
40
20
R
3.
A fraction will result in a repeating decimal if the prime factors of the
simplified denominator contain any prime factor other than 2 or 5.
R
⁄
5
4.
= 2×3×7 = 0.1190476
42
T
5.
1)
17
158 ÷ 17 =
R
6.
2)
5×5
213 ÷ 25 =
R
7.
3)
2×11
119 ÷ 22 =
R
8.
⁄
4)
8
=
7
R
28
9.
⁄
13
5)
=
2×2×2×2
R
16
10.
⁄
1
6)
=
3
R
3
11.
⁄
7)
3
=
29
T
29
12.
⁄
6
8)
=
3
R
18
13.
⁄
4
9)
=
3
R
6
14.
⁄
10)
12
=
3×3
R
27
15.
⁄
15
11)
=
19
19
⁄
7
12)
=
2
14
13)
11
68 ÷ 11 =
14)
13
116 ÷ 13 =
15)
7
24 ÷ 7 =
1-10 93 87 80 73 67 60 53 47 40 33
8
Math
11-15 27 20 13 7
0
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