Free Printable WorksheetMathGrade 8Math Curriculum7.RP.A.3

8.170 Converting Fractions, Decimals, and Percents for Relative Frequency Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.170 Converting Fractions, Decimals, and Percents for Relative Frequency. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.170 Converting Fractions, Decimals, and Percents for Relative Frequency - Which conversion between fraction, decimal, and percent is correct for the relative frequency? (CCSS 7.RP.A.3; CA 7.RP.A.3; MA 7.RP.A.3)

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 8.170 Converting Fractions, Decimals, and Percents for Relative Frequency skill assessments:

Problem 1Difficulty: Hard

Sports choice by team: Team A chose basketball 10 and soccer 41; Team B chose basketball 3 and soccer 6. Which set gives the relative frequency of soccer as a simplified fraction, a decimal rounded to the nearest thousandth, and a percent rounded to the nearest tenth percent?

A13/60, 0.217, 21.7%

B4/5, 0.800, 80.0%

C23/30, 0.767, 76.7%

D47/60, 0.783, 78.3%

Solution & Explanation:The category "soccer" received 41 + 6 = 47 out of 60 total responses, so the relative frequency is 47/60. 47/60 simplifies to 47/60. 47/60 = 0.783333..., so to the nearest thousandth it is 0.783, and to the nearest tenth percent it is 78.3%.

Problem 2Difficulty: Hard

Monday: 13 of 19 hiking badges were earned. Tuesday: 30 of 41 hiking badges were earned. What is the relative frequency of hiking badges that were earned, written as a simplified fraction, a decimal rounded to the nearest thousandth, and a percent rounded to the nearest tenth percent?

A17/60, 0.283, 28.3%

B11/15, 0.733, 73.3%

C43/60, 0.717, 71.7%

D7/10, 0.700, 70.0%

Solution & Explanation:In all, 13 + 30 = 43 hiking badges were earned out of 19 + 41 = 60 total hiking badges, so the relative frequency is 43/60. 43/60 simplifies to 43/60. 43/60 = 0.716667..., so to the nearest thousandth it is 0.717, and to the nearest tenth percent it is 71.7%.

Problem 3Difficulty: Hard

A sticker folder has 60 stickers. Counts: smiley stickers = 4, animal stickers = 15, and letter stickers = the rest. Which option matches the relative frequency of letter stickers using a simplified fraction, a decimal rounded to the nearest thousandth, and a percent rounded to the nearest tenth percent?

A19/60, 0.317, 31.7%

B41/60, 0.683, 68.3%

C7/10, 0.700, 70.0%

D2/3, 0.667, 66.7%

Solution & Explanation:The number of letter stickers is 60 - 4 - 15 = 41, so the relative frequency is 41/60. 41/60 simplifies to 41/60. 41/60 = 0.683333..., so to the nearest thousandth it is 0.683, and to the nearest tenth percent it is 68.3%.

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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 7.RP.A.3 (Primary standard selected for prompt fields: CCSS 7.RP.A.3. Skill statement: Which conversion between fraction, decimal, and percent is correct for the relative frequency? Associated standards listed with this skill: CCSS 7.RP.A.3; CA 7.RP.A.3; MA 7.RP.A.3. Use this embedded wording as the best available supporting standard description for this workflow.).