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Convert Fractions to Decimals - Printable Mathematics Worksheets - Wayground

Convert Fractions to Decimals

10 questions

7th - 7th Grade

Mathematics

Convert Fractions to Decimals is a Grade 7 mathematics worksheet that helps students identify decimal equivalents for proper fractions, improper fractions, and mixed numbers. The 10 multiple-choice questions include fractions that produce terminating decimals, such as 3/16, 29/500, and 1/125, as well as repeating decimals, such as 16/45, 62/11, 6/11, and 5/12. Students also work with values greater than one, including 1 7/8, 1 3/8, and 13/5. This free printable worksheet gives students focused practice converting fractions by recognizing the correct decimal value and distinguishing between terminating and repeating decimal notation. It is suitable for Grade 7 math instruction, independent practice, review, or a quick check of understanding. The worksheet includes a complete answer key so teachers can efficiently review students’ selections and identify errors involving place value, whole-number parts, or repeating digits.

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Convert Fractions to Decimals

Total questions: 10

Name
Class
Date
1.

What decimal is equivalent to

 316\frac{3}{16}  ?

a)

0.01875

b)

0.01895

c)

0.1875

d)

0.1895

2.

Which choice is equivalent to

 1645\frac{16}{45}  ?

a)

 0.32‾0.\overline{32}  

b)

 0.335‾0.3\overline{35}  

c)

 0.35‾0.\overline{35}  

d)

 0.35‾0.3\overline{5}  

3.

Which value is equivalent to

 1781\frac{7}{8}  ?

a)

0.1875

b)

0.857

c)

1.087

d)

1.875

4.

Which decimal is equivalent to

 6211\frac{62}{11}  ?

a)

 0.180.18  

b)

 1.77‾1.\overline{77}  

c)

 5.63‾5.\overline{63}  

d)

 11.6211.62  

5.

Which question is equivalent to

 29500\frac{29}{500}  ?

a)

0.029

b)

0.058

c)

0.29

d)

0.58

6.

Which decimal is equivalent to

 1381\frac{3}{8}  ?

a)

0.1375

b)

1.267

c)

1.375

d)

2.667

7.

Which decimal is equivalent to

 1125\frac{1}{125}  ?

a)

8

b)

0.8

c)

0.08

d)

0.008

8.

Which decimal is equivalent to

 611\frac{6}{11}  ?

a)

 0.5450.545  

b)

 0.54‾0.\overline{54}  

c)

 1.831.83  

d)

 1.83‾1.8\overline{3}  

9.

Which decimal is equivalent to

 135\frac{13}{5}  ?

a)

2.35

b)

2.60

c)

2.70

d)

6.00

10.

Which decimal is equivalent to

 512\frac{5}{12}  ?

a)

 0.0420.042  

b)

 0.416‾0.41\overline{6}  

c)

 0.512‾0.51\overline{2}  

d)

 2.4002.400  

WaygroundAnswer Key

Convert Fractions to Decimals

Total questions: 10

1.
c)

0.1875

2.
d)

 0.35‾0.3\overline{5}  

3.
d)

1.875

4.
c)

 5.63‾5.\overline{63}  

5.
b)

0.058

6.
c)

1.375

7.
d)

0.008

8.
b)

 0.54‾0.\overline{54}  

9.
b)

2.60

10.
b)

 0.416‾0.41\overline{6}  

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FAQs

What does the Convert Fractions to Decimals worksheet cover?

This Grade 7 worksheet covers converting proper fractions, improper fractions, and mixed numbers into equivalent terminating or repeating decimals. Its 10 multiple-choice questions ask students to select decimal equivalents for values such as 3/16, 1 7/8, 13/5, 16/45, and 5/12, building accuracy with decimal place value and repeating-decimal notation.

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

Model how to convert a fraction by dividing the numerator by the denominator, then use examples from the worksheet to compare terminating results such as 3/16 = 0.1875 with repeating results such as 16/45 = 0.3̅5. Before students complete the multiple-choice questions, ask them to explain how they know whether the decimal should end, repeat, or include a whole-number part.

What mistakes should I watch for when students complete this fraction-to-decimal worksheet?

Watch for students choosing 0.1875 instead of 1.875 for 1 7/8, dropping the whole-number part in improper or mixed-number fractions, or misplacing zeros in values such as 1/125 = 0.008. Students may also confuse a rounded decimal with exact repeating notation, such as selecting 0.545 instead of 0.5̅4 for 6/11 or missing the repeating 6 in 5/12 = 0.41̅6.

How do I assign and grade this Convert Fractions to Decimals worksheet?

You can assign this worksheet as a printable PDF or as a digital quiz on Wayground, and it includes a complete answer key for checking all 10 multiple-choice responses. For printable submissions, scan student work with the Wayground for Teachers app to support grading and review.

How can I differentiate this fraction-to-decimal worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or choose a larger font size so the fraction and repeating-decimal choices are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while keeping the same 10 multiple-choice conversion items.

Where can I find more worksheets like this on Wayground?

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

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