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Math Coach Amy
Amy Ferguson Moncure

7th Grade Math ยท Unit 2

Fractions to Decimals,
Denominators of 10 or 100

Read a fraction with a denominator of 10 or 100. Then write the same number as a decimal.

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What to Remember

Read it, then write the decimal

Read the fraction out loud. Then write the same number as a decimal.

A denominator of 10 means tenths.

A denominator of 100 means hundredths.

Denominator of 10

410 = four tenths = 0.4

Denominator of 100

84100 = eighty-four hundredths = 0.84

One digit over 100

7100 = seven hundredths = 0.07

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

Improper fractions

1210

Write the fraction as a mixed number.

1210

1 + 210

1 + 0.2

1.2

Easy 1

Denominator of 10

Read the fraction, then write the decimal.

Example
Write 610 as a decimal.

Read the fraction out loud.

six tenths

0.6

Answer: 0.6

1
Write 110 as a decimal.
Show Answer

Read the fraction out loud.

one tenth

0.1

Answer: 0.1

2
Write 210 as a decimal.
Show Answer

Read the fraction out loud.

two tenths

0.2

Answer: 0.2

3
Write 310 as a decimal.
Show Answer

Read the fraction out loud.

three tenths

0.3

Answer: 0.3

4
Write 510 as a decimal.
Show Answer

Read the fraction out loud.

five tenths

0.5

Answer: 0.5

5
Write 710 as a decimal.
Show Answer

Read the fraction out loud.

seven tenths

0.7

Answer: 0.7

6
Write 810 as a decimal.
Show Answer

Read the fraction out loud.

eight tenths

0.8

Answer: 0.8

Easy 2

Denominators of 100

A one-digit numerator needs a zero in the tenths place.

Example
Write 2100 as a decimal.

Read the fraction out loud.

two hundredths

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

0.02

Answer: 0.02

1
Write 1100 as a decimal.
Show Answer

Read the fraction out loud.

one hundredth

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

0.01

Answer: 0.01

2
Write 3100 as a decimal.
Show Answer

Read the fraction out loud.

three hundredths

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

0.03

Answer: 0.03

3
Write 4100 as a decimal.
Show Answer

Read the fraction out loud.

four hundredths

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

0.04

Answer: 0.04

4
Write 5100 as a decimal.
Show Answer

Read the fraction out loud.

five hundredths

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

0.05

Answer: 0.05

5
Write 6100 as a decimal.
Show Answer

Read the fraction out loud.

six hundredths

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

0.06

Answer: 0.06

6
Write 8100 as a decimal.
Show Answer

Read the fraction out loud.

eight hundredths

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

0.08

Answer: 0.08

7
Write 12100 as a decimal.
Show Answer

Read the fraction out loud.

twelve hundredths

0.12

Answer: 0.12

8
Write 15100 as a decimal.
Show Answer

Read the fraction out loud.

fifteen hundredths

0.15

Answer: 0.15

9
Write 18100 as a decimal.
Show Answer

Read the fraction out loud.

eighteen hundredths

0.18

Answer: 0.18

10
Write 19100 as a decimal.
Show Answer

Read the fraction out loud.

nineteen hundredths

0.19

Answer: 0.19

11
Write 23100 as a decimal.
Show Answer

Read the fraction out loud.

twenty-three hundredths

0.23

Answer: 0.23

12
Write 28100 as a decimal.
Show Answer

Read the fraction out loud.

twenty-eight hundredths

0.28

Answer: 0.28

13
Write 36100 as a decimal.
Show Answer

Read the fraction out loud.

thirty-six hundredths

0.36

Answer: 0.36

14
Write 47100 as a decimal.
Show Answer

Read the fraction out loud.

forty-seven hundredths

0.47

Answer: 0.47

Easy 3

Denominators of 10 and 100

Some denominators are 10. Some are 100.

Example
Write 52100 as a decimal.

Read the fraction out loud.

fifty-two hundredths

0.52

Answer: 0.52

1
Write 910 as a decimal.
Show Answer

Read the fraction out loud.

nine tenths

0.9

Answer: 0.9

2
Write 9100 as a decimal.
Show Answer

Read the fraction out loud.

nine hundredths

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

0.09

Answer: 0.09

3
Write 11100 as a decimal.
Show Answer

Read the fraction out loud.

eleven hundredths

0.11

Answer: 0.11

4
Write 21100 as a decimal.
Show Answer

Read the fraction out loud.

twenty-one hundredths

0.21

Answer: 0.21

5
Write 13100 as a decimal.
Show Answer

Read the fraction out loud.

thirteen hundredths

0.13

Answer: 0.13

6
Write 59100 as a decimal.
Show Answer

Read the fraction out loud.

fifty-nine hundredths

0.59

Answer: 0.59

7
Write 14100 as a decimal.
Show Answer

Read the fraction out loud.

fourteen hundredths

0.14

Answer: 0.14

8
Write 63100 as a decimal.
Show Answer

Read the fraction out loud.

sixty-three hundredths

0.63

Answer: 0.63

9
Write 16100 as a decimal.
Show Answer

Read the fraction out loud.

sixteen hundredths

0.16

Answer: 0.16

10
Write 71100 as a decimal.
Show Answer

Read the fraction out loud.

seventy-one hundredths

0.71

Answer: 0.71

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 1510 as a decimal.

Write the fraction as a mixed number.

1510

1 + 510

1 + 0.5

1.5

Answer: 1.5

1
Write 1110 as a decimal.
Show Answer

Write the fraction as a mixed number.

1110

1 + 110

1 + 0.1

1.1

Answer: 1.1

2
Write 1810 as a decimal.
Show Answer

Write the fraction as a mixed number.

1810

1 + 810

1 + 0.8

1.8

Answer: 1.8

3
Write 2310 as a decimal.
Show Answer

Write the fraction as a mixed number.

2310

2 + 310

2 + 0.3

2.3

Answer: 2.3

4
Write 2710 as a decimal.
Show Answer

Write the fraction as a mixed number.

2710

2 + 710

2 + 0.7

2.7

Answer: 2.7

5
Write 3410 as a decimal.
Show Answer

Write the fraction as a mixed number.

3410

3 + 410

3 + 0.4

3.4

Answer: 3.4

6
Write 103100 as a decimal.
Show Answer

Write the fraction as a mixed number.

13100

1 + 3100

1 + 0.03

1.03

Answer: 1.03

7
Write 147100 as a decimal.
Show Answer

Write the fraction as a mixed number.

147100

1 + 47100

1 + 0.47

1.47

Answer: 1.47

8
Write 156100 as a decimal.
Show Answer

Write the fraction as a mixed number.

156100

1 + 56100

1 + 0.56

1.56

Answer: 1.56

9
Write 208100 as a decimal.
Show Answer

Write the fraction as a mixed number.

28100

2 + 8100

2 + 0.08

2.08

Answer: 2.08

10
Write 273100 as a decimal.
Show Answer

Write the fraction as a mixed number.

273100

2 + 73100

2 + 0.73

2.73

Answer: 2.73

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