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Math Coach Amy
Amy Ferguson Moncure

7th Grade Math · Unit 2

Fractions to Decimals,
Mixed Review

Write each fraction as a decimal.

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Mixed Review

Mixed Review

Use the method that fits the denominator. Write an improper fraction as a mixed number first.

1
Write 17100 as a decimal.
Show Answer

Read the fraction out loud.

seventeen hundredths

0.17

Answer: 0.17

2
Write 325 as a decimal.
Show Answer

Multiply the numerator and the denominator by 4.

3 × 425 × 4

12100

0.12

Answer: 0.12

3
Write 18 as a decimal.
Show Answer

Check if the fraction can be reduced.

The greatest common factor of 1 and 8 is 1.

The fraction is already reduced.

1 is smaller than 8, so the ones digit is 0.

Divide 1 by 8.

The remainder is 0.

0.125

Answer: 0.125

4
Write 1610 as a decimal.
Show Answer

Write the fraction as a mixed number.

1610

1 + 610

1 + 0.6

1.6

Answer: 1.6

5
Write 114 as a decimal.
Show Answer

Write the fraction as a mixed number.

234

2 + 34

Multiply the numerator and the denominator by 25.

3 × 254 × 25

75100

2 + 0.75

2.75

Answer: 2.75

6
Write 199 as a decimal.
Show Answer

Check if the fraction can be reduced.

The greatest common factor of 19 and 9 is 1.

The fraction is already reduced.

Write the fraction as a mixed number.

219

2 + 19

1 is smaller than 9, so the ones digit is 0.

Divide 1 by 9.

The remainder 1 came back, so 1 repeats.

2 + 0.1

2.1

Answer: 2.1

7
Write 46100 as a decimal.
Show Answer

Read the fraction out loud.

forty-six hundredths

0.46

Answer: 0.46

8
Write 1925 as a decimal.
Show Answer

Multiply the numerator and the denominator by 4.

19 × 425 × 4

76100

0.76

Answer: 0.76

9
Write 211 as a decimal.
Show Answer

Check if the fraction can be reduced.

The greatest common factor of 2 and 11 is 1.

The fraction is already reduced.

2 is smaller than 11, so the ones digit is 0.

Divide 2 by 11.

The remainder 2 came back, so 1 and 8 repeat.

0.18

Answer: 0.18

10
Write 2910 as a decimal.
Show Answer

Write the fraction as a mixed number.

2910

2 + 910

2 + 0.9

2.9

Answer: 2.9

11
Write 450 as a decimal.
Show Answer

Multiply the numerator and the denominator by 2.

4 × 250 × 2

8100

The numerator is one digit, so the tenths place is 0.

0.08

Answer: 0.08

12
Write 712 as a decimal.
Show Answer

Check if the fraction can be reduced.

The greatest common factor of 7 and 12 is 1.

The fraction is already reduced.

7 is smaller than 12, so the ones digit is 0.

Divide 7 by 12.

The remainder 4 came back, so 3 repeats.

0.583

Answer: 0.583

13
Write 134100 as a decimal.
Show Answer

Write the fraction as a mixed number.

134100

1 + 34100

1 + 0.34

1.34

Answer: 1.34

14
Write 135 as a decimal.
Show Answer

Write the fraction as a mixed number.

235

2 + 35

Multiply the numerator and the denominator by 2.

3 × 25 × 2

610

2 + 0.6

2.6

Answer: 2.6

15
Write 1511 as a decimal.
Show Answer

Check if the fraction can be reduced.

The greatest common factor of 15 and 11 is 1.

The fraction is already reduced.

Write the fraction as a mixed number.

1411

1 + 411

4 is smaller than 11, so the ones digit is 0.

Divide 4 by 11.

The remainder 4 came back, so 3 and 6 repeat.

1 + 0.36

1.36

Answer: 1.36

16
Write 206100 as a decimal.
Show Answer

Write the fraction as a mixed number.

26100

2 + 6100

2 + 0.06

2.06

Answer: 2.06

17
Write 4150 as a decimal.
Show Answer

Multiply the numerator and the denominator by 2.

41 × 250 × 2

82100

0.82

Answer: 0.82

18
Write 58100 as a decimal.
Show Answer

Read the fraction out loud.

fifty-eight hundredths

0.58

Answer: 0.58

19
Write 2520 as a decimal.
Show Answer

Write the fraction as a mixed number.

1520

1 + 520

Multiply the numerator and the denominator by 5.

5 × 520 × 5

25100

1 + 0.25

1.25

Answer: 1.25

20
Write 2315 as a decimal.
Show Answer

Check if the fraction can be reduced.

The greatest common factor of 23 and 15 is 1.

The fraction is already reduced.

Write the fraction as a mixed number.

1815

1 + 815

8 is smaller than 15, so the ones digit is 0.

Divide 8 by 15.

The remainder 5 came back, so 3 repeats.

1 + 0.53

1.53

Answer: 1.53

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