Free Printable WorksheetMathGrade 4Math Curriculum4.NF.B.3

4.59 Decompose Fractions into Sums of Unit 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 4.59 Decompose Fractions into Sums of Unit Fractions. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Given a fraction, select a correct decomposition into a sum of fractions with the same denominator. (CCSS 4.NF.B.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 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 4.59 Decompose Fractions into Sums of Unit Fractions skill assessments:

Problem 1Difficulty: Mastery
Which final answer shows 26/10 decomposed into tenths in two different ways?
A26/10 = 10/10 + 10/10 + 6/10 and 26/10 = 8/10 + 8/10 + 10/10
B26/10 = 10/10 + 10/10 + 5/10 and 26/10 = 8/10 + 8/10 + 10/10
C26/10 = 10/26 + 10/26 + 6/26 and 26/10 = 8/26 + 8/26 + 10/26
D26/10 = 10/10 + 6/10 and 26/10 = 8/10 + 8/10
Solution & Explanation:Both decompositions use tenths and both numerator sums are 26: 10 + 10 + 6 and 8 + 8 + 10.
Problem 2Difficulty: Mastery
Which statement explains why 19/15 = 6/15 + 7/15 + 6/15 is correct?
AThe denominators should be added to make 45.
BThe numerators make 19, so the denominator changes to 19.
CThe sum is correct only if each numerator is 1.
DThe denominators all stay 15, and 6 + 7 + 6 = 19.
Solution & Explanation:For same-denominator fractions, keep the denominator and add the numerators: 6 + 7 + 6 = 19.
Problem 3Difficulty: Mastery
Use the number line image. Which equation decomposes the marked point into two wholes and the remaining eighths?
A19/8 = 8/19 + 8/19 + 3/19
B19/8 = 8/8 + 7/8 + 3/8
C19/8 = 8/8 + 8/8 + 3/8
D19/8 = 8/8 + 8/8 + 4/8
Solution & Explanation:Two wholes in eighths are 8/8 + 8/8, and 8 + 8 + 3 = 19.

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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 4 Math students. It aligns with educational standard 4.NF.B.3 (Primary standard selected for prompt fields in this prompt cell: CCSS 4.NF.B.3. Skill statement in this prompt cell: Given a fraction, select a correct decomposition into a sum of fractions with the same denominator. Associated standards listed with this skill in this prompt cell: CCSS 4.NF.B.3. Use this prompt-provided wording as the supporting standard description for this workflow.).

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