Changing Repeating Decimals to Fractions is a Grade 8 mathematics worksheet that practices converting decimal representations into fractions. Students work with terminating decimals such as 0.17 and 0.35, identify a repeating decimal, convert repeating decimals into simplified fractions, and write a result as an improper fraction. One item also asks students to continue a decimal pattern by supplying the next five digits.
The 11-question set uses five multiple-choice questions, five fill-in-the-blank prompts, and one multiple-select item. This varied format checks both recognition and procedural fluency: students select appropriate fraction forms, enter exact answers, simplify results, distinguish improper fractions from other forms, and attend to repeating digit patterns. It is a free printable worksheet with an answer key for Grade 8 math practice, independent work, review, or a short formative assessment.
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Worksheets
Changing Repeating Decimals to Fractions
Total questions: 11
Name
Class
Date
1.
Convert 0.17 into a simplified fraction.
a)
17/100
b)
17/10
c)
17/1000
d)
8/50
2.
Convert 0.35 into a simplified fraction.
a)
35/10
b)
7∕20
c)
5/20
d)
.35/100
3.
Convert the following decimal into a fraction.
0.36
a)
4/9
b)
4/11
c)
4/13
d)
3/13
4.
Which of the following is a repeating decimal?
a)
2.451836248702165064513549452
b)
7.1245454545454545454545454545
c)
8.125
d)
12.55
5.
Convert the following decimal into a fraction.
0.83
a)
5/6
b)
7/8
c)
9/11
d)
12/14
6.
Write this decimal as a simplified fraction.
(a)
7.
Write this decimal as a simplified fraction.
(a)
8.
Write this decimal as an improper fraction.
(a)
9.
Write this decimal as a simplified fraction.
(a)
10.
What are the next five digits of this number?
(a)
11.
Why do you love corn? Select all that apply! Hint...SELECT ALL that apply.
a)
It has the juice.
b)
Yellow...and yellow is cool.
c)
It rhymes with born and I was born once...so...yeah.
d)
Corn grows on a stalk and I love to stalk others...so...yeah.
Answer Key
Changing Repeating Decimals to Fractions
Total questions: 11
1.
a)
17/100
2.
b) 7∕20
3.
b)
4/11
4.
b)
7.1245454545454545454545454545
5.
a)
5/6
6.
2254/9999
7.
41/45
8.
2576/495
9.
149/198
10.
04040
11.
a)
It has the juice.
, b)
Yellow...and yellow is cool.
, c)
It rhymes with born and I was born once...so...yeah.
, d)
Corn grows on a stalk and I love to stalk others...so...yeah.
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FAQs
What does this worksheet cover, and how does it help students convert decimals to fractions?
This Grade 8 worksheet practices converting terminating and repeating decimals into fractions, simplifying the results, and writing one result as an improper fraction. Its five multiple-choice and five fill-in-the-blank questions require students to recognize repeating patterns, select or produce equivalent fraction forms, and continue a decimal sequence by identifying the next five digits.
How can I use this worksheet to teach converting repeating decimals into fractions?
Begin by reviewing how terminating decimals can be written over powers of 10 and simplified, then model the place-value subtraction method for a repeating decimal. Use the worksheet’s item that asks students to identify a repeating decimal before assigning the conversion questions, and have students explain why their denominator matches the length of the repeating pattern. Finish by discussing the improper-fraction prompt and the item requiring the next five digits.
What mistakes should I watch for when students complete this decimal-to-fraction worksheet?
Students may write a terminating decimal over the wrong power of 10, stop before simplifying, or confuse a simplified fraction with an improper fraction. For repeating decimals, watch for missing a repeated digit when forming the equation or using a denominator with the wrong number of 9s. Students may also copy the decimal pattern incorrectly in the next-five-digits item or fail to select every correct choice in the multiple-select question.
How do I assign and grade this worksheet?
Wayground provides this decimal-to-fraction worksheet as a printable PDF and as a digital quiz, so you can choose paper practice or online completion. It includes a complete answer key for checking the multiple-choice, fill-in-the-blank, and multiple-select responses. Printable submissions can be graded by scanning student work with the Wayground for Teachers app.
How can I differentiate this decimal-to-fraction worksheet for my students?
In the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size to give the fraction-conversion prompts and decimal patterns more visual room. You can also enable a dyslexia-friendly font or translate the worksheet into another language, which may make the fill-in-the-blank and repeating-pattern items easier to access.
Where can I find more free worksheets like this from Wayground?
Wayground has 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.