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Math Coach Amy
Amy Ferguson Moncure

7th Grade Math · Unit 2

Fractions to Decimals,
Ugly Fractions

These fractions do not make tenths or hundredths. Check if the fraction can be reduced. Then use long division.

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Easy

Easy

Check if the fraction can be reduced. Then use long division.

Example
Write 13 as a decimal.

Check if the fraction can be reduced.

The greatest common factor of 1 and 3 is 1.

The fraction is already reduced.

1 is smaller than 3, so the ones digit is 0.

Divide 1 by 3.

The remainder 1 came back, so 3 repeats.

0.3

Answer: 0.3

1
Write 16 as a decimal.
Show Answer

Check if the fraction can be reduced.

The greatest common factor of 1 and 6 is 1.

The fraction is already reduced.

1 is smaller than 6, so the ones digit is 0.

Divide 1 by 6.

The remainder 4 came back, so 6 repeats.

0.16

Answer: 0.16

2
Write 38 as a decimal.
Show Answer

Check if the fraction can be reduced.

The greatest common factor of 3 and 8 is 1.

The fraction is already reduced.

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

Divide 3 by 8.

The remainder is 0.

0.375

Answer: 0.375

3
Write 49 as a decimal.
Show Answer

Check if the fraction can be reduced.

The greatest common factor of 4 and 9 is 1.

The fraction is already reduced.

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

Divide 4 by 9.

The remainder 4 came back, so 4 repeats.

0.4

Answer: 0.4

4
Write 311 as a decimal.
Show Answer

Check if the fraction can be reduced.

The greatest common factor of 3 and 11 is 1.

The fraction is already reduced.

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

Divide 3 by 11.

The remainder 3 came back, so 2 and 7 repeat.

0.27

Answer: 0.27

5
Write 415 as a decimal.
Show Answer

Check if the fraction can be reduced.

The greatest common factor of 4 and 15 is 1.

The fraction is already reduced.

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

Divide 4 by 15.

The remainder 10 came back, so 6 repeats.

0.26

Answer: 0.26

Medium

Improper Fractions

Write the fraction as a mixed number. Then add the whole number and the fraction. Then add the whole number and the decimal.

Example
Write 83 as a decimal.

Check if the fraction can be reduced.

The greatest common factor of 8 and 3 is 1.

The fraction is already reduced.

Write the fraction as a mixed number.

223

2 + 23

2 is smaller than 3, so the ones digit is 0.

Divide 2 by 3.

The remainder 2 came back, so 6 repeats.

2 + 0.6

2.6

Answer: 2.6

1
Write 116 as a decimal.
Show Answer

Check if the fraction can be reduced.

The greatest common factor of 11 and 6 is 1.

The fraction is already reduced.

Write the fraction as a mixed number.

156

1 + 56

5 is smaller than 6, so the ones digit is 0.

Divide 5 by 6.

The remainder 2 came back, so 3 repeats.

1 + 0.83

1.83

Answer: 1.83

2
Write 138 as a decimal.
Show Answer

Check if the fraction can be reduced.

The greatest common factor of 13 and 8 is 1.

The fraction is already reduced.

Write the fraction as a mixed number.

158

1 + 58

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

Divide 5 by 8.

The remainder is 0.

1 + 0.625

1.625

Answer: 1.625

3
Write 149 as a decimal.
Show Answer

Check if the fraction can be reduced.

The greatest common factor of 14 and 9 is 1.

The fraction is already reduced.

Write the fraction as a mixed number.

159

1 + 59

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

Divide 5 by 9.

The remainder 5 came back, so 5 repeats.

1 + 0.5

1.5

Answer: 1.5

4
Write 1611 as a decimal.
Show Answer

Check if the fraction can be reduced.

The greatest common factor of 16 and 11 is 1.

The fraction is already reduced.

Write the fraction as a mixed number.

1511

1 + 511

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

Divide 5 by 11.

The remainder 5 came back, so 4 and 5 repeat.

1 + 0.45

1.45

Answer: 1.45

5
Write 1712 as a decimal.
Show Answer

Check if the fraction can be reduced.

The greatest common factor of 17 and 12 is 1.

The fraction is already reduced.

Write the fraction as a mixed number.

1512

1 + 512

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

Divide 5 by 12.

The remainder 8 came back, so 6 repeats.

1 + 0.416

1.416

Answer: 1.416

6
Write 1715 as a decimal.
Show Answer

Check if the fraction can be reduced.

The greatest common factor of 17 and 15 is 1.

The fraction is already reduced.

Write the fraction as a mixed number.

1215

1 + 215

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

Divide 2 by 15.

The remainder 5 came back, so 3 repeats.

1 + 0.13

1.13

Answer: 1.13

7
Write 238 as a decimal.
Show Answer

Check if the fraction can be reduced.

The greatest common factor of 23 and 8 is 1.

The fraction is already reduced.

Write the fraction as a mixed number.

278

2 + 78

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

Divide 7 by 8.

The remainder is 0.

2 + 0.875

2.875

Answer: 2.875

8
Write 259 as a decimal.
Show Answer

Check if the fraction can be reduced.

The greatest common factor of 25 and 9 is 1.

The fraction is already reduced.

Write the fraction as a mixed number.

279

2 + 79

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

Divide 7 by 9.

The remainder 7 came back, so 7 repeats.

2 + 0.7

2.7

Answer: 2.7

9
Write 2312 as a decimal.
Show Answer

Check if the fraction can be reduced.

The greatest common factor of 23 and 12 is 1.

The fraction is already reduced.

Write the fraction as a mixed number.

11112

1 + 1112

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

Divide 11 by 12.

The remainder 8 came back, so 6 repeats.

1 + 0.916

1.916

Answer: 1.916

10
Write 2915 as a decimal.
Show Answer

Check if the fraction can be reduced.

The greatest common factor of 29 and 15 is 1.

The fraction is already reduced.

Write the fraction as a mixed number.

11415

1 + 1415

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

Divide 14 by 15.

The remainder 5 came back, so 3 repeats.

1 + 0.93

1.93

Answer: 1.93

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