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.
T
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
R
5.
1)
2
78 ÷ 12 =
R
6.
⁄
12
2)
=
5×5
T
25
7.
3)
3×3
61 ÷ 9 =
T
8.
⁄
4)
1
=
2×2×7
T
28
9.
5)
3
17 ÷ 3 =
R
10.
6)
3
60 ÷ 18 =
T
11.
7)
5
42 ÷ 10 =
R
12.
⁄
3
8)
=
2×2×5
R
20
13.
⁄
3
9)
=
2×5
R
30
14.
⁄
10)
6
=
29
T
29
15.
11)
2
13 ÷ 2 =
⁄
5
12)
=
2×11
22
⁄
13)
2
=
7
7
⁄
12
14)
=
13
13
15)
2
60 ÷ 24 =
1-10 93 87 80 73 67 60 53 47 40 33
5
Math
11-15 27 20 13 7
0
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