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Converting Decimals and Fractions - Printable Mathematics Worksheets class 8 - Wayground

Converting Decimals and Fractions

12 questions

8th - 8th Grade

Mathematics

Converting Decimals and Fractions is a Grade 8 mathematics worksheet that helps students move between decimal and fraction representations. Across 12 questions—11 multiple-choice items and 1 multiple-select item—students identify equivalent fractions for decimals, convert fractions such as tenths to decimals, and convert decimal values such as 0.39 and 0.75 into fractions. The set includes tenths, hundredths, and thousandths, giving students practice connecting decimal place value to fraction denominators. This free printable worksheet with an answer key supports independent practice, guided instruction, or a quick formative assessment. Students must read decimal place values accurately, select equivalent representations, and recognize when a fraction should be expressed in simplified form, such as converting 0.75 to 3/4. The multiple-select question also asks students to identify more than one equivalent fraction, helping teachers check whether students understand equivalence rather than relying on a single conversion procedure.

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Worksheets

Converting Decimals and Fractions

Total questions: 12

Name
Class
Date
1.

What fraction is equivalent to .7?

a)

7/1

b)

7/100

c)

7/10

d)

7

2.

What fractions are equivalent to .05?

a)

5/10

b)

5/100

c)

1/20

d)

5/1

3.

What fraction is equivalent to 1.9?

a)

1 910\frac{9}{10}

b)

191\frac{19}{1}

c)

19100\frac{19}{100}

4.

What fraction is equivalent to .001?

a)

1100\frac{1}{100}

b)

11000\frac{1}{1000}

c)

10001\frac{1000}{1}

d)

1001\frac{100}{1}

5.

What decimal is equivalent to 310\frac{3}{10}  ?

a)

10.3

b)

3.10

c)

.3

d)

.03

6.

What decimal is equivalent to 7100\frac{7}{100}  ?

a)

.07

b)

.7

c)

7.100

d)

100.7

7.

What decimal is equivalent to 18\frac{1}{8}  ?

a)

.12

b)

1.8

c)

.125

d)

8.1

8.

What decimal is equivalent to 14\frac{1}{4} ?

a)

.25

b)

1.4

c)

4.1

d)

.10

9.
Convert 1/10 to a decimal.
a)
0.1
b)
1
c)
0.01
d)
0.5
10.
Convert 3/10 to a decimal.
a)
0.1
b)
0.23
c)
0.3
d)
0.03
11.
Convert 0.39 to a fraction.
a)
3/9
b)
9/3
c)
39/100
d)
39/10
12.
Convert .75 into a fraction
a)
75/100
b)
3/4
c)
15/20
d)
4/3
Answer Key

Converting Decimals and Fractions

Total questions: 12

1.
c)

7/10

2.
b)

5/100

, c)

1/20

3.
a)

1 910\frac{9}{10}

4.
b)

11000\frac{1}{1000}

5.
c)

.3

6.
a)

.07

7.
c)

.125

8.
a)

.25

9.
a) 0.1
10.
c) 0.3
11.
c) 39/100
12.
b) 3/4

FAQs

What does the Converting Decimals and Fractions worksheet cover?

This Grade 8 worksheet covers converting decimals to fractions and fractions to decimals, with particular attention to tenths, hundredths, and thousandths. Its 11 multiple-choice and 1 multiple-select questions ask students to identify equivalent representations, such as matching 0.7 with 7/10, recognizing multiple fractions equivalent to 0.05, and expressing 0.75 as 3/4.

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

Introduce the worksheet by having students identify the place value of each decimal digit and use that place value as the fraction denominator. Work through one decimal-to-fraction example and one fraction-to-decimal example together, then have students explain why multiple choices can represent the same value in the multiple-select item. Use the final decimal-to-fraction questions to discuss when an equivalent fraction can be simplified.

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

Watch for students choosing denominators that do not match the decimal place value, such as using 10 for a hundredths or thousandths decimal. Students may also overlook a second correct choice in the multiple-select question, confuse 0.07 with 0.7, or select an unsimplified equivalent for 0.75 instead of the keyed simplified form, 3/4.

How do I assign and grade this converting decimals and fractions worksheet?

On Wayground, assign the worksheet as a printable PDF or use it as a digital quiz, then check students’ decimal-to-fraction and fraction-to-decimal responses with the complete answer key. For printable submissions, teachers can scan student work with the Wayground for Teachers app to support grading.

How can I differentiate this decimals and fractions worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size to make the decimal and fraction choices easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while keeping the same conversion questions and answer choices.

Where can I find more 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 help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.