Free Printable WorksheetMathGrade 8Math Curriculum8.NS.A.1

8.6 Converting Repeating Decimals to Fractions Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.6 Converting Repeating Decimals to Fractions. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.6 Converting Repeating Decimals to Fractions - Which fraction is equivalent to the repeating decimal shown? (CCSS 8.NS.A.1; CA 8.NS.A.1; MA 8.NS.A.1)

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 8

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 8.6 Converting Repeating Decimals to Fractions skill assessments:

Problem 1Difficulty: Hard
Find the fraction that matches 2.9181818..., where 18 repeats after 2.9. Which choice is correct?
A2918/1000
B321/110
C2918/990
D2916/999
Solution & Explanation:Use the repeating-decimal method: (2918 - 29)/990 = 2889/990 = 321/110.
Problem 2Difficulty: Hard
Which fraction is the exact rational form of 1.0(27), meaning 1.0272727...?
A1027/990
B1026/999
C1027/1000
D113/110
Solution & Explanation:Use the repeating-decimal method: (1027 - 10)/990 = 1017/990 = 113/110.
Problem 3Difficulty: Hard
If q is 3.08333..., which fraction could replace q?
A3080/999
B3083/900
C3083/1000
D37/12
Solution & Explanation:Use the repeating-decimal method: (3083 - 308)/900 = 2775/900 = 37/12.

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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 8 Math students. It aligns with educational standard 8.NS.A.1 (Primary standard selected for prompt fields: CCSS 8.NS.A.1. Skill statement: Which fraction is equivalent to the repeating decimal shown? Associated standards listed with this skill: CCSS 8.NS.A.1; CA 8.NS.A.1; MA 8.NS.A.1. Use this embedded wording as the best available supporting standard description for this workflow.).

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