Finding Repeating Decimals
Name:
Determine if each problem when converted to a decimal will result in a repeating (R) or
terminating (T) decimal.
1.
R
6
2.
R
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.
3.
R
4.
R
5.
R
A fraction will result in a terminating decimal if the prime factors of the
simplified denominator contain only 2s or 5s (or only 2s and 5s).
⁄40 = 3⁄20 = 2×2×5 = 0.15
⁄42 = 2×3×7 = 0.1190476
5
⁄22 =
2×11
6.
T
⁄13 =
13
7.
R
8.
T
9.
R
10.
T
11.
R
12.
R
1) 1
2) 4
3)
4)
5)
6)
29
220 ÷ 29 =
3
52 ÷ 6 =
2×3×3
53 ÷ 18 =
2
18 ÷ 4 =
⁄26 =
7) 3
2×13
⁄2 =
2
13.
R
⁄7 =
7
14.
R
15.
R
8) 1
9) 4
10)
2×2
69 ÷ 12 =
11)
102 ÷ 21 =
7
12)
107 ÷ 19 =
19
13) 13
⁄17 =
⁄11 =
14) 6
15)
Answers
17
11
10 ÷ 3 =
Math
3
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1-10 93 87 80 73 67 60 53 47 40 33
11-15 27 20 13 7 0
Finding Repeating Decimals
Name:
Answer Key
Determine if each problem when converted to a decimal will result in a repeating (R) or
terminating (T) decimal.
1.
R
6
2.
R
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.
3.
R
4.
R
5.
R
A fraction will result in a terminating decimal if the prime factors of the
simplified denominator contain only 2s or 5s (or only 2s and 5s).
⁄40 = 3⁄20 = 2×2×5 = 0.15
⁄42 = 2×3×7 = 0.1190476
5
⁄22 =
2×11
6.
T
⁄13 =
13
7.
R
8.
T
9.
R
10.
T
11.
R
12.
R
1) 1
2) 4
3)
4)
5)
6)
29
220 ÷ 29 =
3
52 ÷ 6 =
2×3×3
53 ÷ 18 =
2
18 ÷ 4 =
⁄26 =
7) 3
2×13
⁄2 =
2
13.
R
⁄7 =
7
14.
R
15.
R
8) 1
9) 4
10)
2×2
69 ÷ 12 =
11)
102 ÷ 21 =
7
12)
107 ÷ 19 =
19
13) 13
⁄17 =
⁄11 =
14) 6
15)
Answers
17
11
10 ÷ 3 =
Math
3
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1-10 93 87 80 73 67 60 53 47 40 33
11-15 27 20 13 7 0
Finding Repeating Decimals
Name:
Determine if each problem when converted to a decimal will result in a repeating (R) or
terminating (T) decimal.
1.
R
6
2.
R
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.
3.
R
4.
R
5.
T
6.
R
7.
T
8.
R
9.
T
10.
T
A fraction will result in a terminating decimal if the prime factors of the
simplified denominator contain only 2s or 5s (or only 2s and 5s).
⁄40 = 3⁄20 = 2×2×5 = 0.15
⁄42 = 2×3×7 = 0.1190476
5
1) 10
2)
3)
4)
5)
⁄27 =
91 ÷ 9 =
2×2×3
3×3
13
240 ÷ 26 =
38 ÷ 5 =
5
⁄23 =
23
11.
R
⁄10 =
2×5
12.
R
⁄29 =
29
13.
T
14.
R
15.
T
7) 9
8) 6
⁄2 =
9) 1
11)
3×3×3
127 ÷ 12 =
6) 6
10)
Answers
2
2×2×2×2
87 ÷ 16 =
19
165 ÷ 19 =
⁄6 =
2×3
⁄8 =
2×2
12) 5
13) 6
14)
222 ÷ 22 =
15)
23 ÷ 4 =
Math
11
2×2
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1-10 93 87 80 73 67 60 53 47 40 33
11-15 27 20 13 7 0
Finding Repeating Decimals
Name:
Answer Key
Determine if each problem when converted to a decimal will result in a repeating (R) or
terminating (T) decimal.
1.
R
6
2.
R
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.
3.
R
4.
R
5.
T
6.
R
7.
T
8.
R
9.
T
10.
T
A fraction will result in a terminating decimal if the prime factors of the
simplified denominator contain only 2s or 5s (or only 2s and 5s).
⁄40 = 3⁄20 = 2×2×5 = 0.15
⁄42 = 2×3×7 = 0.1190476
5
1) 10
2)
3)
4)
5)
⁄27 =
91 ÷ 9 =
2×2×3
3×3
13
240 ÷ 26 =
38 ÷ 5 =
5
⁄23 =
23
11.
R
⁄10 =
2×5
12.
R
⁄29 =
29
13.
T
14.
R
15.
T
7) 9
8) 6
⁄2 =
9) 1
11)
3×3×3
127 ÷ 12 =
6) 6
10)
Answers
2
2×2×2×2
87 ÷ 16 =
19
165 ÷ 19 =
⁄6 =
2×3
⁄8 =
2×2
12) 5
13) 6
14)
222 ÷ 22 =
15)
23 ÷ 4 =
Math
11
2×2
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1
1-10 93 87 80 73 67 60 53 47 40 33
11-15 27 20 13 7 0
Finding Repeating Decimals
Name:
Determine if each problem when converted to a decimal will result in a repeating (R) or
terminating (T) decimal.
1.
R
6
2.
R
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.
3.
R
4.
R
5.
T
A fraction will result in a terminating decimal if the prime factors of the
simplified denominator contain only 2s or 5s (or only 2s and 5s).
⁄40 = 3⁄20 = 2×2×5 = 0.15
⁄42 = 2×3×7 = 0.1190476
5
⁄24 =
3
6.
T
⁄13 =
13
7.
T
8.
R
9.
T
10.
T
11.
R
12.
R
13.
R
14.
R
15.
R
1) 8
2) 4
3)
4)
5)
6)
7)
78 ÷ 11 =
62 ÷ 10 =
7
5
2
18 ÷ 4 =
2×2
273 ÷ 28 =
⁄27 =
3×3
24 ÷ 5 =
5
10) 15
⁄16 =
2×2×2×2
⁄22 =
11
⁄18 =
3×3
11) 8
12) 8
⁄9 =
13) 6
14)
11
159 ÷ 21 =
8) 24
9)
Answers
3
157 ÷ 15 =
⁄7 =
15) 6
3×5
7
Math
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2
1-10 93 87 80 73 67 60 53 47 40 33
11-15 27 20 13 7 0
Finding Repeating Decimals
Name:
Answer Key
Determine if each problem when converted to a decimal will result in a repeating (R) or
terminating (T) decimal.
1.
R
6
2.
R
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.
3.
R
4.
R
5.
T
A fraction will result in a terminating decimal if the prime factors of the
simplified denominator contain only 2s or 5s (or only 2s and 5s).
⁄40 = 3⁄20 = 2×2×5 = 0.15
⁄42 = 2×3×7 = 0.1190476
5
⁄24 =
3
6.
T
⁄13 =
13
7.
T
8.
R
9.
T
10.
T
11.
R
12.
R
13.
R
14.
R
15.
R
1) 8
2) 4
3)
4)
5)
6)
7)
78 ÷ 11 =
62 ÷ 10 =
7
5
2
18 ÷ 4 =
2×2
273 ÷ 28 =
⁄27 =
3×3
24 ÷ 5 =
5
10) 15
⁄16 =
2×2×2×2
⁄22 =
11
⁄18 =
3×3
11) 8
12) 8
⁄9 =
13) 6
14)
11
159 ÷ 21 =
8) 24
9)
Answers
3
157 ÷ 15 =
⁄7 =
15) 6
3×5
7
Math
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2
1-10 93 87 80 73 67 60 53 47 40 33
11-15 27 20 13 7 0
Finding Repeating Decimals
Name:
Determine if each problem when converted to a decimal will result in a repeating (R) or
terminating (T) decimal.
1.
R
6
2.
R
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.
3.
R
4.
R
5.
R
6.
R
7.
R
8.
R
9.
T
10.
T
11.
T
12.
R
29
13.
R
5×5
14.
T
15.
T
A fraction will result in a terminating decimal if the prime factors of the
simplified denominator contain only 2s or 5s (or only 2s and 5s).
⁄40 = 3⁄20 = 2×2×5 = 0.15
⁄42 = 2×3×7 = 0.1190476
5
1)
⁄11 =
4)
7)
11
23
202 ÷ 23 =
11
216 ÷ 22 =
5) 11
6)
2×7
270 ÷ 28 =
2) 8
3)
⁄19 =
19
2×2×2×3
193 ÷ 24 =
3
230 ÷ 30 =
8) 22
⁄29 =
⁄25 =
9) 9
10) 19
⁄20 =
2×2×5
11)
13 ÷ 5 =
5
12)
71 ÷ 9 =
3×3
13) 12
14)
Answers
⁄27 =
3×3
42 ÷ 8 =
⁄2 =
15) 1
2×2
2
Math
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1-10 93 87 80 73 67 60 53 47 40 33
11-15 27 20 13 7 0
Finding Repeating Decimals
Name:
Answer Key
Determine if each problem when converted to a decimal will result in a repeating (R) or
terminating (T) decimal.
1.
R
6
2.
R
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.
3.
R
4.
R
5.
R
6.
R
7.
R
8.
R
9.
T
10.
T
11.
T
12.
R
29
13.
R
5×5
14.
T
15.
T
A fraction will result in a terminating decimal if the prime factors of the
simplified denominator contain only 2s or 5s (or only 2s and 5s).
⁄40 = 3⁄20 = 2×2×5 = 0.15
⁄42 = 2×3×7 = 0.1190476
5
1)
⁄11 =
4)
7)
11
23
202 ÷ 23 =
11
216 ÷ 22 =
5) 11
6)
2×7
270 ÷ 28 =
2) 8
3)
⁄19 =
19
2×2×2×3
193 ÷ 24 =
3
230 ÷ 30 =
8) 22
⁄29 =
⁄25 =
9) 9
10) 19
⁄20 =
2×2×5
11)
13 ÷ 5 =
5
12)
71 ÷ 9 =
3×3
13) 12
14)
Answers
⁄27 =
3×3
42 ÷ 8 =
⁄2 =
15) 1
2×2
2
Math
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1-10 93 87 80 73 67 60 53 47 40 33
11-15 27 20 13 7 0
Finding Repeating Decimals
Name:
Determine if each problem when converted to a decimal will result in a repeating (R) or
terminating (T) decimal.
1.
R
6
2.
R
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.
3.
T
4.
R
5.
T
6.
R
7.
R
8.
R
9.
T
10.
T
11.
T
12.
R
13.
T
14.
T
15.
R
A fraction will result in a terminating decimal if the prime factors of the
simplified denominator contain only 2s or 5s (or only 2s and 5s).
⁄40 = 3⁄20 = 2×2×5 = 0.15
⁄42 = 2×3×7 = 0.1190476
5
1)
96 ÷ 11 =
3×7
13 ÷ 2 =
2
⁄23 =
4) 3
5)
⁄18 =
⁄14 =
7) 6
9)
10)
23
54 ÷ 20 =
6) 15
8)
11
⁄21 =
2) 13
3)
Answers
2×5
2×3
7
2×7
150 ÷ 28 =
2
42 ÷ 4 =
61 ÷ 16 =
11)
264 ÷ 25 =
12)
61 ÷ 15 =
2×2×2×2
5×5
3×5
⁄24 =
2×2
14)
41 ÷ 5 =
5
15)
65 ÷ 29 =
13) 18
Math
29
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1-10 93 87 80 73 67 60 53 47 40 33
11-15 27 20 13 7 0
Finding Repeating Decimals
Name:
Answer Key
Determine if each problem when converted to a decimal will result in a repeating (R) or
terminating (T) decimal.
1.
R
6
2.
R
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.
3.
T
4.
R
5.
T
6.
R
7.
R
8.
R
9.
T
10.
T
11.
T
12.
R
13.
T
14.
T
15.
R
A fraction will result in a terminating decimal if the prime factors of the
simplified denominator contain only 2s or 5s (or only 2s and 5s).
⁄40 = 3⁄20 = 2×2×5 = 0.15
⁄42 = 2×3×7 = 0.1190476
5
1)
96 ÷ 11 =
3×7
13 ÷ 2 =
2
⁄23 =
4) 3
5)
⁄18 =
⁄14 =
7) 6
9)
10)
23
54 ÷ 20 =
6) 15
8)
11
⁄21 =
2) 13
3)
Answers
2×5
2×3
7
2×7
150 ÷ 28 =
2
42 ÷ 4 =
61 ÷ 16 =
11)
264 ÷ 25 =
12)
61 ÷ 15 =
2×2×2×2
5×5
3×5
⁄24 =
2×2
14)
41 ÷ 5 =
5
15)
65 ÷ 29 =
13) 18
Math
29
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4
1-10 93 87 80 73 67 60 53 47 40 33
11-15 27 20 13 7 0
Finding Repeating Decimals
Name:
Determine if each problem when converted to a decimal will result in a repeating (R) or
terminating (T) decimal.
1.
T
6
2.
T
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.
3.
R
4.
R
5.
R
6.
R
7.
T
8.
T
9.
T
10.
R
11.
T
12.
R
A fraction will result in a terminating decimal if the prime factors of the
simplified denominator contain only 2s or 5s (or only 2s and 5s).
⁄40 = 3⁄20 = 2×2×5 = 0.15
⁄42 = 2×3×7 = 0.1190476
5
1)
⁄25 =
⁄28 =
6)
7)
2×2×7
3
3
60 ÷ 18 =
5
42 ÷ 10 =
⁄20 =
2×2×5
13.
R
⁄30 =
2×5
14.
R
⁄29 =
29
15.
T
9) 3
10) 6
2
13 ÷ 2 =
⁄22 =
12) 5
⁄7 =
13) 2
14) 12
15)
3×3
17 ÷ 3 =
8) 3
11)
5×5
61 ÷ 9 =
4) 1
5)
2
78 ÷ 12 =
2) 12
3)
Answers
2×11
7
⁄13 =
13
60 ÷ 24 =
Math
2
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1-10 93 87 80 73 67 60 53 47 40 33
11-15 27 20 13 7 0
Finding Repeating Decimals
Name:
Answer Key
Determine if each problem when converted to a decimal will result in a repeating (R) or
terminating (T) decimal.
1.
T
6
2.
T
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.
3.
R
4.
R
5.
R
6.
R
7.
T
8.
T
9.
T
10.
R
11.
T
12.
R
A fraction will result in a terminating decimal if the prime factors of the
simplified denominator contain only 2s or 5s (or only 2s and 5s).
⁄40 = 3⁄20 = 2×2×5 = 0.15
⁄42 = 2×3×7 = 0.1190476
5
1)
⁄25 =
⁄28 =
6)
7)
2×2×7
3
3
60 ÷ 18 =
5
42 ÷ 10 =
⁄20 =
2×2×5
13.
R
⁄30 =
2×5
14.
R
⁄29 =
29
15.
T
9) 3
10) 6
2
13 ÷ 2 =
⁄22 =
12) 5
⁄7 =
13) 2
14) 12
15)
3×3
17 ÷ 3 =
8) 3
11)
5×5
61 ÷ 9 =
4) 1
5)
2
78 ÷ 12 =
2) 12
3)
Answers
2×11
7
⁄13 =
13
60 ÷ 24 =
Math
2
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1-10 93 87 80 73 67 60 53 47 40 33
11-15 27 20 13 7 0
Finding Repeating Decimals
Name:
Determine if each problem when converted to a decimal will result in a repeating (R) or
terminating (T) decimal.
1.
R
6
2.
R
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.
3.
R
4.
T
5.
R
6.
R
7.
T
8.
R
A fraction will result in a terminating decimal if the prime factors of the
simplified denominator contain only 2s or 5s (or only 2s and 5s).
⁄40 = 3⁄20 = 2×2×5 = 0.15
⁄42 = 2×3×7 = 0.1190476
5
⁄17 =
1) 1
2×7
52 ÷ 7 =
7
4) 12
5) 25
6)
7)
8)
9)
⁄15 =
5
9.
R
⁄26 =
2×13
10.
R
11.
R
12.
R
13.
R
14.
R
15.
T
38 ÷ 9 =
11 ÷ 5 =
29 ÷ 6 =
57 ÷ 21 =
⁄11 =
10) 7
11)
17
⁄28 =
2) 10
3)
Answers
3×3
5
2×3
7
11
188 ÷ 30 =
⁄18 =
12) 2
3×5
3×3
13)
116 ÷ 14 =
7
14)
226 ÷ 22 =
11
⁄8 =
15) 5
2×2×2
Math
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1-10 93 87 80 73 67 60 53 47 40 33
11-15 27 20 13 7 0
Finding Repeating Decimals
Name:
Answer Key
Determine if each problem when converted to a decimal will result in a repeating (R) or
terminating (T) decimal.
1.
R
6
2.
R
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.
3.
R
4.
T
5.
R
6.
R
7.
T
8.
R
A fraction will result in a terminating decimal if the prime factors of the
simplified denominator contain only 2s or 5s (or only 2s and 5s).
⁄40 = 3⁄20 = 2×2×5 = 0.15
⁄42 = 2×3×7 = 0.1190476
5
⁄17 =
1) 1
2×7
52 ÷ 7 =
7
4) 12
5) 25
6)
7)
8)
9)
⁄15 =
5
9.
R
⁄26 =
2×13
10.
R
11.
R
12.
R
13.
R
14.
R
15.
T
38 ÷ 9 =
11 ÷ 5 =
29 ÷ 6 =
57 ÷ 21 =
⁄11 =
10) 7
11)
17
⁄28 =
2) 10
3)
Answers
3×3
5
2×3
7
11
188 ÷ 30 =
⁄18 =
12) 2
3×5
3×3
13)
116 ÷ 14 =
7
14)
226 ÷ 22 =
11
⁄8 =
15) 5
2×2×2
Math
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1-10 93 87 80 73 67 60 53 47 40 33
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Finding Repeating Decimals
Name:
Determine if each problem when converted to a decimal will result in a repeating (R) or
terminating (T) decimal.
1.
T
6
2.
R
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.
3.
T
4.
R
5.
T
6.
R
7.
R
8.
R
9.
R
10.
T
11.
R
12.
R
13.
R
14.
R
15.
R
A fraction will result in a terminating decimal if the prime factors of the
simplified denominator contain only 2s or 5s (or only 2s and 5s).
⁄40 = 3⁄20 = 2×2×5 = 0.15
⁄42 = 2×3×7 = 0.1190476
5
1)
2)
5)
8)
⁄20 =
2×2×5
13
106 ÷ 13 =
2×2
76 ÷ 16 =
⁄21 =
3
3
69 ÷ 9 =
156 ÷ 28 =
⁄3 =
9) 1
10)
2×13
283 ÷ 26 =
6) 14
7)
2
21 ÷ 2 =
3) 17
4)
Answers
3
102 ÷ 25 =
11) 15
7
⁄17 =
5×5
17
12)
123 ÷ 18 =
2×3
13)
201 ÷ 29 =
29
14) 14
⁄23 =
23
15) 19
⁄30 =
2×3×5
Math
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1-10 93 87 80 73 67 60 53 47 40 33
11-15 27 20 13 7 0
Finding Repeating Decimals
Name:
Answer Key
Determine if each problem when converted to a decimal will result in a repeating (R) or
terminating (T) decimal.
1.
T
6
2.
R
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.
3.
T
4.
R
5.
T
6.
R
7.
R
8.
R
9.
R
10.
T
11.
R
12.
R
13.
R
14.
R
15.
R
A fraction will result in a terminating decimal if the prime factors of the
simplified denominator contain only 2s or 5s (or only 2s and 5s).
⁄40 = 3⁄20 = 2×2×5 = 0.15
⁄42 = 2×3×7 = 0.1190476
5
1)
2)
5)
8)
⁄20 =
2×2×5
13
106 ÷ 13 =
2×2
76 ÷ 16 =
⁄21 =
3
3
69 ÷ 9 =
156 ÷ 28 =
⁄3 =
9) 1
10)
2×13
283 ÷ 26 =
6) 14
7)
2
21 ÷ 2 =
3) 17
4)
Answers
3
102 ÷ 25 =
11) 15
7
⁄17 =
5×5
17
12)
123 ÷ 18 =
2×3
13)
201 ÷ 29 =
29
14) 14
⁄23 =
23
15) 19
⁄30 =
2×3×5
Math
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1-10 93 87 80 73 67 60 53 47 40 33
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Finding Repeating Decimals
Name:
Determine if each problem when converted to a decimal will result in a repeating (R) or
terminating (T) decimal.
1.
R
6
2.
T
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.
3.
R
4.
R
5.
T
6.
R
7.
R
8.
R
9.
R
10.
R
11.
R
A fraction will result in a terminating decimal if the prime factors of the
simplified denominator contain only 2s or 5s (or only 2s and 5s).
⁄40 = 3⁄20 = 2×2×5 = 0.15
⁄42 = 2×3×7 = 0.1190476
5
1)
2)
3)
Answers
17
158 ÷ 17 =
5×5
213 ÷ 25 =
2×11
119 ÷ 22 =
⁄28 =
4) 8
5) 13
7
⁄16 =
⁄3 =
6) 1
2×2×2×2
3
⁄29 =
29
12.
T
⁄18 =
3
13.
R
14.
R
15.
R
7) 3
8) 6
⁄6 =
9) 4
10) 12
11) 15
⁄27 =
3×3
⁄19 =
19
⁄14 =
12) 7
3
2
13)
68 ÷ 11 =
14)
116 ÷ 13 =
15)
24 ÷ 7 =
Math
11
13
7
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8
1-10 93 87 80 73 67 60 53 47 40 33
11-15 27 20 13 7 0
Finding Repeating Decimals
Name:
Answer Key
Determine if each problem when converted to a decimal will result in a repeating (R) or
terminating (T) decimal.
1.
R
6
2.
T
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.
3.
R
4.
R
5.
T
6.
R
7.
R
8.
R
9.
R
10.
R
11.
R
A fraction will result in a terminating decimal if the prime factors of the
simplified denominator contain only 2s or 5s (or only 2s and 5s).
⁄40 = 3⁄20 = 2×2×5 = 0.15
⁄42 = 2×3×7 = 0.1190476
5
1)
2)
3)
Answers
17
158 ÷ 17 =
5×5
213 ÷ 25 =
2×11
119 ÷ 22 =
⁄28 =
4) 8
5) 13
7
⁄16 =
⁄3 =
6) 1
2×2×2×2
3
⁄29 =
29
12.
T
⁄18 =
3
13.
R
14.
R
15.
R
7) 3
8) 6
⁄6 =
9) 4
10) 12
11) 15
⁄27 =
3×3
⁄19 =
19
⁄14 =
12) 7
3
2
13)
68 ÷ 11 =
14)
116 ÷ 13 =
15)
24 ÷ 7 =
Math
11
13
7
www.CommonCoreSheets.com
8
1-10 93 87 80 73 67 60 53 47 40 33
11-15 27 20 13 7 0
Finding Repeating Decimals
Name:
Determine if each problem when converted to a decimal will result in a repeating (R) or
terminating (T) decimal.
1.
R
6
2.
T
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.
3.
R
4.
T
5.
R
6.
R
2×2
7.
R
13
8.
R
9.
R
10.
T
11.
T
12.
R
13.
T
14.
R
15.
T
A fraction will result in a terminating decimal if the prime factors of the
simplified denominator contain only 2s or 5s (or only 2s and 5s).
⁄40 = 3⁄20 = 2×2×5 = 0.15
⁄42 = 2×3×7 = 0.1190476
5
1)
⁄4 =
3) 12
⁄13 =
⁄2 =
4) 1
6)
7)
2×3×3
133 ÷ 18 =
7
3×5
242 ÷ 30 =
10) 19
⁄20 =
⁄25 =
11) 8
2×2×5
5×5
47 ÷ 12 =
⁄5 =
13) 3
14)
17
3×3
20 ÷ 9 =
⁄28 =
12)
2
112 ÷ 17 =
8) 8
9)
2×2×2×3
193 ÷ 24 =
2) 3
5)
Answers
5
296 ÷ 29 =
⁄8 =
15) 2
2×2×3
29
2×2
Math
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1-10 93 87 80 73 67 60 53 47 40 33
11-15 27 20 13 7 0
Finding Repeating Decimals
Name:
Answer Key
Determine if each problem when converted to a decimal will result in a repeating (R) or
terminating (T) decimal.
1.
R
6
2.
T
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.
3.
R
4.
T
5.
R
6.
R
2×2
7.
R
13
8.
R
9.
R
10.
T
11.
T
12.
R
13.
T
14.
R
15.
T
A fraction will result in a terminating decimal if the prime factors of the
simplified denominator contain only 2s or 5s (or only 2s and 5s).
⁄40 = 3⁄20 = 2×2×5 = 0.15
⁄42 = 2×3×7 = 0.1190476
5
1)
⁄4 =
3) 12
⁄13 =
⁄2 =
4) 1
6)
7)
2×3×3
133 ÷ 18 =
7
3×5
242 ÷ 30 =
10) 19
⁄20 =
⁄25 =
11) 8
2×2×5
5×5
47 ÷ 12 =
⁄5 =
13) 3
14)
17
3×3
20 ÷ 9 =
⁄28 =
12)
2
112 ÷ 17 =
8) 8
9)
2×2×2×3
193 ÷ 24 =
2) 3
5)
Answers
5
296 ÷ 29 =
⁄8 =
15) 2
2×2×3
29
2×2
Math
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9
1-10 93 87 80 73 67 60 53 47 40 33
11-15 27 20 13 7 0
Finding Repeating Decimals
Name:
Determine if each problem when converted to a decimal will result in a repeating (R) or
terminating (T) decimal.
1.
T
6
2.
T
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.
3.
R
4.
R
5.
T
6.
R
7.
R
8.
T
9.
R
10.
T
3×7
11.
R
2×3×5
12.
R
13.
R
14.
T
15.
R
A fraction will result in a terminating decimal if the prime factors of the
simplified denominator contain only 2s or 5s (or only 2s and 5s).
⁄40 = 3⁄20 = 2×2×5 = 0.15
⁄42 = 2×3×7 = 0.1190476
5
1) 11
⁄16 =
⁄4 =
2) 2
3)
4)
2×2×2×2
2
11
108 ÷ 22 =
68 ÷ 12 =
⁄20 =
5) 5
6) 20
⁄30 =
5
49 ÷ 5 =
⁄11 =
9) 3
10) 14
3
2×2
⁄21 =
7) 1
8)
Answers
11
⁄25 =
5×5
11)
167 ÷ 19 =
12)
89 ÷ 13 =
13
13)
40 ÷ 15 =
3
14)
33 ÷ 8 =
15)
212 ÷ 27 =
Math
19
2×2×2
3×3×3
www.CommonCoreSheets.com
10
1-10 93 87 80 73 67 60 53 47 40 33
11-15 27 20 13 7 0
Finding Repeating Decimals
Name:
Answer Key
Determine if each problem when converted to a decimal will result in a repeating (R) or
terminating (T) decimal.
1.
T
6
2.
T
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.
3.
R
4.
R
5.
T
6.
R
7.
R
8.
T
9.
R
10.
T
3×7
11.
R
2×3×5
12.
R
13.
R
14.
T
15.
R
A fraction will result in a terminating decimal if the prime factors of the
simplified denominator contain only 2s or 5s (or only 2s and 5s).
⁄40 = 3⁄20 = 2×2×5 = 0.15
⁄42 = 2×3×7 = 0.1190476
5
1) 11
⁄16 =
⁄4 =
2) 2
3)
4)
2×2×2×2
2
11
108 ÷ 22 =
68 ÷ 12 =
⁄20 =
5) 5
6) 20
⁄30 =
5
49 ÷ 5 =
⁄11 =
9) 3
10) 14
3
2×2
⁄21 =
7) 1
8)
Answers
11
⁄25 =
5×5
11)
167 ÷ 19 =
12)
89 ÷ 13 =
13
13)
40 ÷ 15 =
3
14)
33 ÷ 8 =
15)
212 ÷ 27 =
Math
19
2×2×2
3×3×3
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