Free Printable WorksheetMathGrade 4Math Curriculum4.NF.A.1

4.77 Patterns of Equivalent Fractions Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 4 Math worksheet provides structured practice on 4.77 Patterns of Equivalent Fractions. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Given a sequence of equivalent fractions, select the missing fraction or the rule that generates the pattern. (CCSS 4.NF.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 4

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 4.77 Patterns of Equivalent Fractions skill assessments:

Problem 1Difficulty: Mastery
Which choice completes the pattern and gives the rule: 6/9, 12/18, 24/36, __?
A30/45; add 6 to the numerator and 9 to the denominator
B36/54; multiply the original fraction by 6
C48/72; double both parts each step
D48/54; double only the numerator each step
Solution & Explanation:Each term doubles both the numerator and denominator, so 24/36 becomes 48/72.
Problem 2Difficulty: Mastery
A pattern equivalent to 7/10 is 21/30, __, 49/70, 63/90. The multipliers are 3, 5, 7, and 9. Which fraction is missing?
A28/40
B35/50
C42/60
D56/80
Solution & Explanation:The missing multiplier is 5. Multiplying 7/10 by 5 gives 35/50.
Problem 3Difficulty: Mastery
Which sequence can be made by multiplying 3/8 by 2, 5, 8, and 11?
A6/16, 12/32, 18/48, 24/64
B6/16, 15/40, 24/64, 33/88
C3/8, 6/16, 9/24, 12/32
D9/24, 15/40, 21/56, 27/72
Solution & Explanation:Using multipliers 2, 5, 8, and 11 gives 6/16, 15/40, 24/64, and 33/88.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this 4.77 Patterns of Equivalent Fractions worksheet?

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QIs this 4.77 Patterns of Equivalent Fractions worksheet free for teachers and homeschoolers?

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QCan students practice 4.77 Patterns of Equivalent Fractions online with instant feedback?

Yes! In addition to this printable worksheet, students can practice 4.77 Patterns of Equivalent Fractions interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 4 Math students. It aligns with educational standard 4.NF.A.1 (Primary standard selected for prompt fields in this prompt cell: CCSS 4.NF.A.1. Skill statement in this prompt cell: Given a sequence of equivalent fractions, select the missing fraction or the rule that generates the pattern. Associated standards listed with this skill in this prompt cell: CCSS 4.NF.A.1. Use this prompt-provided wording as the supporting standard description for this workflow.).

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