## - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

See some of our other supported math practice problems.

### 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.   5.20
2.   3.98

### 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.   6.373
2.   4.838

### 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.   1.55
2.   7.96

### 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.   2.8917
2.   10.3304

### 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.   9.670879
2.   4.976243

### 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.
15.20
Solution
x = 5.20.
Length of non-repeating decimal part = 0.
Length of repeating decimal part = 2.
10repeating + non-repeating lengthx = 102x = 100x = 520. 20
10non-repeating lengthx = 10 0x = 1x = 5.20
100x - 1x = 99x = 520.20 - 5.20 = 515

x =
 51599
=
 5 2099
23.98
Solution
x = 3.98.
Length of non-repeating decimal part = 0.
Length of repeating decimal part = 2.
10repeating + non-repeating lengthx = 102x = 100x = 398. 98
10non-repeating lengthx = 10 0x = 1x = 3.98
100x - 1x = 99x = 398.98 - 3.98 = 395

x =
 39599
=
 3 9899

### 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.
16.373
Solution
x = 6.373.
Length of non-repeating decimal part = 0.
Length of repeating decimal part = 3.
10repeating + non-repeating lengthx = 103x = 1000x = 6373. 373
10non-repeating lengthx = 10 0x = 1x = 6.373
1000x - 1x = 999x = 6373.373 - 6.373 = 6367

x =
 6367999
=
 6 373999
24.838
Solution
x = 4.838.
Length of non-repeating decimal part = 0.
Length of repeating decimal part = 3.
10repeating + non-repeating lengthx = 103x = 1000x = 4838. 838
10non-repeating lengthx = 10 0x = 1x = 4.838
1000x - 1x = 999x = 4838.838 - 4.838 = 4834

x =
 4834999
=
 4 838999

### 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.
11.55
Solution
x = 1.55.
Length of non-repeating decimal part = 1.
Length of repeating decimal part = 1.
10repeating + non-repeating lengthx = 102x = 100x = 155. 5
10non-repeating lengthx = 10 1x = 10x = 15.5
100x - 10x = 90x = 155.5 - 15.5 = 140

x =
 14090
=
 149
=
 1 59
27.96
Solution
x = 7.96.
Length of non-repeating decimal part = 1.
Length of repeating decimal part = 1.
10repeating + non-repeating lengthx = 102x = 100x = 796. 6
10non-repeating lengthx = 10 1x = 10x = 79.6
100x - 10x = 90x = 796.6 - 79.6 = 717

x =
 71790
=
 23930
=
 7 2930

### 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.
12.8917
Solution
x = 2.8917.
Length of non-repeating decimal part = 2.
Length of repeating decimal part = 2.
10repeating + non-repeating lengthx = 104x = 10000x = 28917. 17
10non-repeating lengthx = 10 2x = 100x = 289.17
10000x - 100x = 9900x = 28917.17 - 289.17 = 28628

x =
 286289900
=
 71572475
=
 2 22072475
210.3304
Solution
x = 10.3304.
Length of non-repeating decimal part = 2.
Length of repeating decimal part = 2.
10repeating + non-repeating lengthx = 104x = 10000x = 103304. 04
10non-repeating lengthx = 10 2x = 100x = 1033.04
10000x - 100x = 9900x = 103304.04 - 1033.04 = 102271

x =
 1022719900
=
 10 32719900

### 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.
19.670879
Solution
x = 9.670879.
Length of non-repeating decimal part = 3.
Length of repeating decimal part = 3.
10repeating + non-repeating lengthx = 106x = 1000000x = 9670879. 879
10non-repeating lengthx = 10 3x = 1000x = 9670.879
1000000x - 1000x = 999000x = 9670879.879 - 9670.879 = 9661209

x =
 9661209999000
=
 3220403333000
=
 9 223403333000
24.976243
Solution
x = 4.976243.
Length of non-repeating decimal part = 3.
Length of repeating decimal part = 3.
10repeating + non-repeating lengthx = 106x = 1000000x = 4976243. 243
10non-repeating lengthx = 10 3x = 1000x = 4976.243
1000000x - 1000x = 999000x = 4976243.243 - 4976.243 = 4971267

x =
 4971267999000
=
 18412137000
=
 4 3612137000