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Converting Fractions to decimals - Printable Mathematics Worksheets year 7 - Wayground

Converting Fractions to decimals

11 questions

7th - 7th Grade

Mathematics

This Grade 7 mathematics worksheet gives students practice converting fractions to decimals through nine multiple-choice questions. The answer choices include decimals with different place values, such as tenths, hundredths, and thousandths, so students must identify the decimal that represents each fraction rather than rely on a broad estimate. The varied distractors help reveal place-value errors, including misplaced decimal digits and extra or missing zeros. The final two multiple-select questions shift to evaluating absolute-value expressions, asking students to choose all expressions equal to 9 or -4. Together, the 11 items combine decimal-conversion practice with careful interpretation of absolute-value notation and a negative sign outside the absolute-value symbols. This free printable worksheet is designed for Grade 7 math practice, independent work, review, or a quick check for understanding, and it includes a complete answer key for efficient checking.

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Worksheets

Converting Fractions to decimals

Total questions: 11

Name
Class
Date
1.

Convert to a decimal:

14\frac{1}{4}  

a)

0.4

b)

0.2

c)

0.25

d)

0.14

2.

Convert to a decimal:

910\frac{9}{10}  

a)

0.9

b)

0.09

c)

0.009

d)

0.0009

3.

Convert to a decimal:

25\frac{2}{5}  

a)

0.2

b)

0.5

c)

0.4

d)

0.3

4.

Convert to a decimal:

23\frac{2}{3}  

a)

0.2

b)

0.3

c)

0.3‾0.\overline{3}  

d)

0.6‾0.\overline{6}  

5.

Convert to a decimal:

31000\frac{3}{1000}  

a)

0.3

b)

0.03

c)

0.003

d)

0.0003

6.

Convert to a decimal:

38\frac{3}{8}  

a)

0.375

b)

0.325

c)

0.125

d)

0.175

7.

Convert to a decimal: 59\frac{5}{9}  

a)

0.5‾0\overline{.5}   

b)

0.9‾0.\overline{9}  

c)

0.5

d)

0.9

8.

Convert to a decimal:

720\frac{7}{20}  

a)

0.7

b)

0.20

c)

0.35

d)

0.14

9.

Convert to a decimal:

13\frac{1}{3}  

a)

0.3

b)

0.3‾0.\overline{3}  

c)

0.1

d)

0.1‾0.\overline{1}  

10.

Choose all answers that equal 9.

a)

|9|

b)

|-9|

c)

-|9|

d)

-|-9|

11.

Choose all answers that equal -4.

a)

|-4|

b)

-|4|

c)

|4|

d)

-|-4|

Answer Key

Converting Fractions to decimals

Total questions: 11

1.
c)

0.25

2.
a)

0.9

3.
c)

0.4

4.
d)

0.6‾0.\overline{6}  

5.
c)

0.003

6.
a)

0.375

7.
a)

0.5‾0\overline{.5}   

8.
c)

0.35

9.
b)

0.3‾0.\overline{3}  

10.
a)

|9|

, b)

|-9|

11.
b)

-|4|

, d)

-|-4|

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FAQs

What does this worksheet cover, and how does it help students learn the skill?

This Grade 7 worksheet contains nine multiple-choice items on converting fractions to decimals, followed by two multiple-select items on evaluating absolute-value expressions. The decimal questions require students to distinguish among tenths, hundredths, and thousandths in the answer choices, while the final items reinforce that both |9| and |-9| equal 9 and that -|4| and -|-4| equal -4.

How can I use this worksheet to teach converting fractions to decimals?

Model the conversion process before students begin the first nine multiple-choice questions, then ask them to explain why each selected decimal matches the fraction’s value. Have students compare the distractors aloud, focusing on place value and the effect of zeros. Afterward, use the two multiple-select questions to connect absolute-value notation with the sign placed outside the symbols.

What mistakes should I watch for when students complete this worksheet?

Students may choose a decimal with the wrong place value, such as a tenth instead of a thousandth, or select an option because it has similar digits without checking the decimal’s position. In the final multiple-select items, watch for treating |-9| as negative or overlooking that a negative sign outside absolute-value symbols changes the result. Students may also select only one correct option when the question asks them to choose all answers that apply.

How do I assign and grade this worksheet?

This worksheet is available on Wayground as a printable PDF and as a digital quiz. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format also gives schools an option for reducing screen time during practice.

How do the final questions extend the worksheet’s decimal-conversion practice?

The last two multiple-select questions add a separate symbolic reasoning check after the nine fraction-to-decimal items. Students must evaluate absolute-value expressions and distinguish the value inside the symbols from a negative sign outside them, selecting every expression equal to 9 or -4 rather than choosing a single answer.

Where can I find more free worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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