Free Printable WorksheetMathGrade 6Math Curriculum6.47

6.47 Convert Between Fractions and Decimals, Including Repeating Decimals Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.47 Convert Between Fractions and Decimals, Including Repeating Decimals. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which answer choice correctly converts between a fraction and a decimal and identifies whether the decimal terminates or repeats? (CCSS 6.NS.B.3; CA 6.NS.B.3; MA 6.NS.B.3; NY NY-6.NS.3; TX 19 TAC §111.26(b)(4)(G); FL MA.6.NSO.3.5; VA 6.NS.1b-d)

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 6

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 6.47 Convert Between Fractions and Decimals, Including Repeating Decimals skill assessments:

Problem 1Difficulty: Mastery

Which option correctly writes 0.0(27) as a fraction in simplest form and tells whether the decimal terminates or repeats?

A0.0(27) = 3/110; terminating.

B0.0(27) = 6/220; repeating.

C0.0(27) = 2/55; repeating.

D0.0(27) = 3/110; repeating.

Solution & Explanation:Let x = 0.0(27). Multiply x by a power of 10 to line up the repeating part, then subtract to remove the repeat. Solve for x and simplify to get 3/110. Because the digits repeat, the decimal is repeating.

Problem 2Difficulty: Mastery

Which answer choice matches 0.(123) with its simplest fraction form and correctly labels it as terminating or repeating?

A0.(123) = 41/333; terminating.

B0.(123) = 82/666; repeating.

C0.(123) = 41/333; repeating.

D0.(123) = 14/111; repeating.

Solution & Explanation:Let x = 0.(123). Multiply x by a power of 10 to line up the repeating part, then subtract to remove the repeat. Solve for x and simplify to get 41/333. Because the digits repeat, the decimal is repeating.

Problem 3Difficulty: Mastery

Convert 47/90 to a decimal. Which choice shows the correct decimal and whether it terminates or repeats?

A47/90 = 0.5(2); terminating.

B47/90 = 0.5(2); repeating.

C47/90 = 0.5(3); repeating.

D47/90 = 0.5; terminating.

Solution & Explanation:Use the fraction 47/90. Then divide numerator by denominator to get 0.5(2). After simplifying, the denominator has a prime factor other than 2 or 5, so the decimal repeats.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 6 Math students. It aligns with educational standard 6.47 (Convert Between Fractions and Decimals, Including Repeating Decimals).