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These sample problems below for Repeating Decimals were generated by the MathScore.com engine.

Sample Problems For Repeating Decimals

Complexity=2, Mode=noNonRptDec

Convert the following decimals into simplified mixed fractions. If the whole number value of the fraction is 0, just leave it blank.
1.   9.27
2.   10.02

Complexity=3, Mode=noNonRptDec

Convert the following decimals into simplified mixed fractions. If the whole number value of the fraction is 0, just leave it blank.
1.   6.852
2.   7.238

Complexity=1, Mode=NonRptDec

Convert the following decimals into simplified mixed fractions. If the whole number value of the fraction is 0, just leave it blank.
1.   3.99
2.   5.26

Complexity=2, Mode=NonRptDec

Convert the following decimals into simplified mixed fractions. If the whole number value of the fraction is 0, just leave it blank.
1.   1.7246
2.   0.5803

Complexity=3, Mode=NonRptDec

Convert the following decimals into simplified mixed fractions. If the whole number value of the fraction is 0, just leave it blank.
1.   7.338686
2.   1.871602

Answers

Complexity=2, Mode=noNonRptDec

Convert the following decimals into simplified mixed fractions. If the whole number value of the fraction is 0, just leave it blank.
#ProblemCorrect AnswerYour Answer
19.27
Solution
x = 9.27.
Length of non-repeating decimal part = 0.
Length of repeating decimal part = 2.
10repeating + non-repeating lengthx = 102x = 100x = 927. 27
10non-repeating lengthx = 10 0x = 1x = 9.27
100x - 1x = 99x = 927.27 - 9.27 = 918

x =
918
99
=
102
11
=
9 3
11
#ProblemCorrect AnswerYour Answer
210.02
Solution
x = 10.02.
Length of non-repeating decimal part = 0.
Length of repeating decimal part = 2.
10repeating + non-repeating lengthx = 102x = 100x = 1002. 02
10non-repeating lengthx = 10 0x = 1x = 10.02
100x - 1x = 99x = 1002.02 - 10.02 = 992

x =
992
99
=
10 2
99

Complexity=3, Mode=noNonRptDec

Convert the following decimals into simplified mixed fractions. If the whole number value of the fraction is 0, just leave it blank.
#ProblemCorrect AnswerYour Answer
16.852
Solution
x = 6.852.
Length of non-repeating decimal part = 0.
Length of repeating decimal part = 3.
10repeating + non-repeating lengthx = 103x = 1000x = 6852. 852
10non-repeating lengthx = 10 0x = 1x = 6.852
1000x - 1x = 999x = 6852.852 - 6.852 = 6846

x =
6846
999
=
2282
333
=
6 284
333
#ProblemCorrect AnswerYour Answer
27.238
Solution
x = 7.238.
Length of non-repeating decimal part = 0.
Length of repeating decimal part = 3.
10repeating + non-repeating lengthx = 103x = 1000x = 7238. 238
10non-repeating lengthx = 10 0x = 1x = 7.238
1000x - 1x = 999x = 7238.238 - 7.238 = 7231

x =
7231
999
=
7 238
999

Complexity=1, Mode=NonRptDec

Convert the following decimals into simplified mixed fractions. If the whole number value of the fraction is 0, just leave it blank.
#ProblemCorrect AnswerYour Answer
13.99
Solution
x = 3.99.
Length of non-repeating decimal part = 1.
Length of repeating decimal part = 1.
10repeating + non-repeating lengthx = 102x = 100x = 399. 9
10non-repeating lengthx = 10 1x = 10x = 39.9
100x - 10x = 90x = 399.9 - 39.9 = 360

x =
360
90
=
4
1
= 4
#ProblemCorrect AnswerYour Answer
25.26
Solution
x = 5.26.
Length of non-repeating decimal part = 1.
Length of repeating decimal part = 1.
10repeating + non-repeating lengthx = 102x = 100x = 526. 6
10non-repeating lengthx = 10 1x = 10x = 52.6
100x - 10x = 90x = 526.6 - 52.6 = 474

x =
474
90
=
79
15
=
5 4
15

Complexity=2, Mode=NonRptDec

Convert the following decimals into simplified mixed fractions. If the whole number value of the fraction is 0, just leave it blank.
#ProblemCorrect AnswerYour Answer
11.7246
Solution
x = 1.7246.
Length of non-repeating decimal part = 2.
Length of repeating decimal part = 2.
10repeating + non-repeating lengthx = 104x = 10000x = 17246. 46
10non-repeating lengthx = 10 2x = 100x = 172.46
10000x - 100x = 9900x = 17246.46 - 172.46 = 17074

x =
17074
9900
=
8537
4950
=
1 3587
4950
#ProblemCorrect AnswerYour Answer
20.5803
Solution
x = 0.5803.
Length of non-repeating decimal part = 2.
Length of repeating decimal part = 2.
10repeating + non-repeating lengthx = 104x = 10000x = 5803. 03
10non-repeating lengthx = 10 2x = 100x = 58.03
10000x - 100x = 9900x = 5803.03 - 58.03 = 5745

x =
5745
9900
=
383
660
=
383
660

Complexity=3, Mode=NonRptDec

Convert the following decimals into simplified mixed fractions. If the whole number value of the fraction is 0, just leave it blank.
#ProblemCorrect AnswerYour Answer
17.338686
Solution
x = 7.338686.
Length of non-repeating decimal part = 3.
Length of repeating decimal part = 3.
10repeating + non-repeating lengthx = 106x = 1000000x = 7338686. 686
10non-repeating lengthx = 10 3x = 1000x = 7338.686
1000000x - 1000x = 999000x = 7338686.686 - 7338.686 = 7331348

x =
7331348
999000
=
1832837
249750
=
7 84587
249750
#ProblemCorrect AnswerYour Answer
21.871602
Solution
x = 1.871602.
Length of non-repeating decimal part = 3.
Length of repeating decimal part = 3.
10repeating + non-repeating lengthx = 106x = 1000000x = 1871602. 602
10non-repeating lengthx = 10 3x = 1000x = 1871.602
1000000x - 1000x = 999000x = 1871602.602 - 1871.602 = 1869731

x =
1869731
999000
=
1 870731
999000

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