10 questions
8th - 8th Grade
Mathematics
Converting Repeating Decimals to Fractions is a Grade 8 mathematics worksheet that helps students recognize fraction equivalents for repeating decimals and convert recurring decimal representations into fractions. The 10 multiple-choice questions include decimals such as 0.444..., 0.252525..., 1.5555..., and a mixed-number decimal, requiring students to select forms such as 4/9, 25/99, and 1 5/9. This worksheet is useful for guided practice, independent review, homework, or a quick check of students’ understanding of repeating-decimal equivalence. Its answer choices expose common denominator and place-value errors, helping teachers identify whether students are treating a repeating decimal as terminating or mishandling the whole-number part. It is a free printable worksheet with a complete answer key, and it is also available as a digital quiz on Wayground for flexible assignment and assessment.
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WorksheetsAnswer KeyThis Grade 8 worksheet covers converting repeating decimals, including decimals with repeating single digits, repeating digit blocks, and whole-number parts, into equivalent fractions or mixed numbers. Its 10 multiple-choice questions ask students to identify forms such as 4/9, 25/99, 2 4/9, and 1 5/9, building accuracy with recurring-decimal equivalence.
Introduce the worksheet by modeling how the repeating pattern in a decimal determines its fractional equivalent, then work through one pure repeating decimal and one mixed-number decimal before students complete the multiple-choice items. Ask students to explain why choices such as 4/10 or 1 5/10 do not represent the repeating decimals shown, using the repeating pattern rather than the appearance of the first few digits as evidence.
Watch for students treating a repeating decimal such as 0.444... or 0.252525... as a terminating decimal and choosing denominators such as 10 or 100. Students may also confuse 4/9 with 2/5 or mishandle the whole-number part when converting 2.444... and 1.5555... into mixed numbers.
On Wayground, assign this worksheet either as a printable PDF or as a digital quiz containing its 10 multiple-choice questions. A complete answer key is included, 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.
Use the worksheet’s Advanced Settings to adjust font spacing and font size so the decimal notation and fraction choices are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language, while keeping the repeating-decimal multiple-choice practice intact.
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.
