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Decimals To Fractions - 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.

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Complexity=1

Convert the following decimals into fractions.
1.   10.8

2.   1.2


Complexity=2

Convert the following decimals into fractions.
1.   5.58

2.   8.84


Complexity=3

Convert the following decimals into fractions.
1.   9.062

2.   4.235


Complexity=4

Convert the following decimals into fractions.
1.   9.9121

2.   6.058


Answers


Complexity=1

Convert the following decimals into fractions.
#ProblemCorrect AnswerYour Answer
110.8

Solution
Begin by taking out the whole number. In this case, the whole number is 10.
We are left with 0.8 which goes out to the tenths place.

0.8 =
8
10
=
4
5
So adding back the whole number, we have that

10.8 =
10 4
5
#ProblemCorrect AnswerYour Answer
21.2

Solution
Begin by taking out the whole number. In this case, the whole number is 1.
We are left with 0.2 which goes out to the tenths place.

0.2 =
2
10
=
1
5
So adding back the whole number, we have that

1.2 =
1 1
5

Complexity=2

Convert the following decimals into fractions.
#ProblemCorrect AnswerYour Answer
15.58

Solution
Begin by taking out the whole number. In this case, the whole number is 5.
We are left with 0.58 which goes out to the hundredths place.

0.58 =
58
100
=
29
50
So adding back the whole number, we have that

5.58 =
5 29
50
#ProblemCorrect AnswerYour Answer
28.84

Solution
Begin by taking out the whole number. In this case, the whole number is 8.
We are left with 0.84 which goes out to the hundredths place.

0.84 =
84
100
=
21
25
So adding back the whole number, we have that

8.84 =
8 21
25

Complexity=3

Convert the following decimals into fractions.
#ProblemCorrect AnswerYour Answer
19.062

Solution
Begin by taking out the whole number. In this case, the whole number is 9.
We are left with 0.061999999999999 which goes out to the thousandths place.

0.061999999999999 =
62
1000
=
31
500
So adding back the whole number, we have that

9.062 =
9 31
500
#ProblemCorrect AnswerYour Answer
24.235

Solution
Begin by taking out the whole number. In this case, the whole number is 4.
We are left with 0.235 which goes out to the thousandths place.

0.235 =
235
1000
=
47
200
So adding back the whole number, we have that

4.235 =
4 47
200

Complexity=4

Convert the following decimals into fractions.
#ProblemCorrect AnswerYour Answer
19.9121

Solution
Begin by taking out the whole number. In this case, the whole number is 9.
We are left with 0.9121 which goes out to the ten-thousandths place.

0.9121 =
9121
10000
So adding back the whole number, we have that

9.9121 =
9 9121
10000
#ProblemCorrect AnswerYour Answer
26.058

Solution
Begin by taking out the whole number. In this case, the whole number is 6.
We are left with 0.058 which goes out to the ten-thousandths place.

0.058 =
580
10000
=
29
500
So adding back the whole number, we have that

6.058 =
6 29
500
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