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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.  
7.4

2.  
2.7

Complexity=2

Convert the following decimals into fractions.

1.  
8.84

2.  
9.37

Complexity=3

Convert the following decimals into fractions.

1.  
1.646

2.  
8.646

Complexity=4

Convert the following decimals into fractions.

1.  
5.1613

2.  
3.1321


Answers


Complexity=1

Convert the following decimals into fractions.

#ProblemCorrect AnswerYour Answer
17.4

Solution
Begin by taking out the whole number. In this case, the whole number is 7.
We are left with 0.4 which goes out to the tenths place.

0.4 =
4
10
=
2
5
So adding back the whole number, we have that

7.4 =
7 2
5
#ProblemCorrect AnswerYour Answer
22.7

Solution
Begin by taking out the whole number. In this case, the whole number is 2.
We are left with 0.7 which goes out to the tenths place.

0.7 =
7
10
So adding back the whole number, we have that

2.7 =
2 7
10

Complexity=2

Convert the following decimals into fractions.

#ProblemCorrect AnswerYour Answer
18.84

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
#ProblemCorrect AnswerYour Answer
29.37

Solution
Begin by taking out the whole number. In this case, the whole number is 9.
We are left with 0.37 which goes out to the hundredths place.

0.37 =
37
100
So adding back the whole number, we have that

9.37 =
9 37
100

Complexity=3

Convert the following decimals into fractions.

#ProblemCorrect AnswerYour Answer
11.646

Solution
Begin by taking out the whole number. In this case, the whole number is 1.
We are left with 0.646 which goes out to the thousandths place.

0.646 =
646
1000
=
323
500
So adding back the whole number, we have that

1.646 =
1 323
500
#ProblemCorrect AnswerYour Answer
28.646

Solution
Begin by taking out the whole number. In this case, the whole number is 8.
We are left with 0.646 which goes out to the thousandths place.

0.646 =
646
1000
=
323
500
So adding back the whole number, we have that

8.646 =
8 323
500

Complexity=4

Convert the following decimals into fractions.

#ProblemCorrect AnswerYour Answer
15.1613

Solution
Begin by taking out the whole number. In this case, the whole number is 5.
We are left with 0.1613 which goes out to the ten-thousandths place.

0.1613 =
1613
10000
So adding back the whole number, we have that

5.1613 =
5 1613
10000
#ProblemCorrect AnswerYour Answer
23.1321

Solution
Begin by taking out the whole number. In this case, the whole number is 3.
We are left with 0.1321 which goes out to the ten-thousandths place.

0.1321 =
1321
10000
So adding back the whole number, we have that

3.1321 =
3 1321
10000
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