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1-1: Turning Decimals into Fractions - Printable Mathematics Worksheets - Wayground

1-1: Turning Decimals into Fractions

10 questions

8th - 8th Grade

Mathematics

1-1: Turning Decimals into Fractions is a Grade 8 mathematics worksheet that builds skill in converting decimals into fraction form and mixed-number form. The ten math-response items include terminating decimals such as 0.6 and 0.005, along with repeating-decimal situations that require students to express values greater than one as mixed numbers. Students must use decimal place value to select an appropriate denominator, write each decimal as a fraction, and follow the response instruction for simplifying or representing the result as a fraction or mixed number. The set also helps students distinguish when a decimal represents a value less than one from when it should be written with a whole-number part. This free printable worksheet includes a complete answer key for Grade 8 math practice, independent work, review, or a quick check of decimal-to-fraction fluency.

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1-1: Turning Decimals into Fractions

Total questions: 10

Name
Class
Date
1.

What is 0.6 as a fraction?

2.

How would you express 0.005 as a fraction?

3.
Make sure your answer is in fraction form.

Make sure your answer is in fraction form.

4.
Make sure your answer is a mixed number

Make sure your answer is a mixed number

5.
Make sure your answer is a fraction.

Make sure your answer is a fraction.

6.
Make sure your answer is a fraction.

Make sure your answer is a fraction.

7.

A manufacturer that the cost of making a computer component is $4.1919191919... Write the cost as a mixed number.

8.

Colton's calculator has a decimal on it. what would it look like as a mixed number?

4.7777777778

9.
Make sure your answer is a fraction.

Make sure your answer is a fraction.

10.
Write the following decimal as a mixed number.

Write the following decimal as a mixed number.

WaygroundAnswer Key

1-1: Turning Decimals into Fractions

Total questions: 10

1.

35\frac{3}{5}

2.

51000\frac{5}{1000}

3.

1733\frac{17}{33}

4.

319333\frac{19}{33}

5.

611\frac{6}{11}

6.

211\frac{2}{11}

7.

419994\frac{19}{99}

8.

4794\frac{7}{9}

9.

711\frac{7}{11}

10.

41732254\frac{173}{225}

FAQs

What does the Turning Decimals into Fractions worksheet cover?

This Grade 8 worksheet uses 10 math-response items to practice converting terminating decimals, such as 0.6 and 0.005, into fractions and expressing larger decimal values as mixed numbers. Students must also follow the requested response form, choosing a fraction or mixed number and simplifying the result when needed.

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

Begin by reviewing how decimal place value determines a denominator of 10, 100, or 1,000, then model converting a decimal such as 0.6 or 0.005 into a fraction before simplifying it. Use the worksheet’s mixed-number prompts to extend the lesson to values greater than one, and ask students to explain why the whole-number part is needed for the repeating-decimal examples.

What mistakes should I watch for on this decimal-to-fraction worksheet?

Students may choose the wrong denominator by overlooking the number of digits after the decimal point, or they may leave a fraction unsimplified. Also check whether they follow each item’s requested form: some responses must remain fractions, while others require mixed numbers, especially for values greater than one and the repeating-decimal situations.

How do I assign and grade this worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for all 10 math-response items. You can grade printable student work by scanning it with the Wayground for Teachers app, or use the digital version for online response collection and grading.

How does this worksheet build both fraction and mixed-number fluency?

The worksheet moves students between two related representations: fraction responses for decimal values such as 0.6 and 0.005, and mixed-number responses for decimal values greater than one. Requiring students to identify the appropriate form helps them connect decimal place value with the whole-number and fractional parts of a mixed number.

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 support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.