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.
T
⁄
5
4.
= 2×3×7 = 0.1190476
42
R
5.
1)
2×2×2×3
193 ÷ 24 =
R
6.
⁄
3
2)
=
2×2
R
4
7.
⁄
12
3)
=
13
R
13
8.
⁄
4)
1
=
2
R
2
9.
5)
17
112 ÷ 17 =
T
10.
6)
3×3
20 ÷ 9 =
T
11.
7)
2×3×3
133 ÷ 18 =
R
12.
⁄
8
8)
=
7
T
28
13.
9)
3×5
242 ÷ 30 =
R
14.
⁄
10)
19
=
2×2×5
T
20
15.
⁄
8
11)
=
5×5
25
12)
2×2×3
47 ÷ 12 =
⁄
13)
3
=
5
5
14)
29
296 ÷ 29 =
⁄
2
15)
=
2×2
8
1-10 93 87 80 73 67 60 53 47 40 33
9
Math
11-15 27 20 13 7
0
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