Free Printable WorksheetMathGrade 5Math Curriculum5.NF.A.1

5.54 Add and Subtract Fractions Using Visual Models Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 5 Math worksheet provides structured practice on 5.54 Add and Subtract Fractions Using Visual Models. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Skill description: Select the correct visual model that matches a fraction addition or subtraction problem and identify the correct result. Choose the model, equation, or benchmark comparison that correctly supports the fraction operation. Corresponding standards: CCSS 5.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 5

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 5.54 Add and Subtract Fractions Using Visual Models skill assessments:

Problem 1Difficulty: Mastery

Select the labeled tape diagram that matches 3 1/5 − 7/10 after using a common denominator.

AModel A: the tape is partitioned into 10 equal parts, but it shows one extra part and labels 2 6/10 = 2 3/5.

BModel B: the tape is partitioned into 10 equal parts, but it leaves out one part and labels 2 4/10 = 2 2/5.

CModel C: the tape uses 3 2/10 and 7/10 but applies the wrong operation, so it labels 3 9/10.

DModel D: a tape diagram partitions each whole into 10 equal parts and removes parts to show regroup 3 2/10 as 2 12/10, then 2 12/10 − 7/10 = 2 5/10 = 2 1/2.

Solution & Explanation:Use a common denominator of 10. Rename 3 1/5 as 3 2/10 and 7/10 as 7/10. Then regroup 3 2/10 as 2 12/10, then 2 12/10 − 7/10 = 2 5/10 = 2 1/2, so the correct result is 2 1/2.

Problem 2Difficulty: Mastery

Which model should be used to show 2 1/3 + 7/12 on equal-sized wholes? Include the benchmark comparison shown by the model.

AModel A: a number line uses 12 equal intervals but lands one tick too far at 3.

BModel B: a number line uses 12 equal intervals but lands one tick short at 2 10/12 = 2 5/6.

CModel C: a benchmark number line uses 12 equal intervals per whole; it shows 2 4/12 + 7/12 = 2 11/12, so the result is greater than 1 whole.

DModel D: a number line matches the partitions but uses the wrong operation and lands on 1 3/4.

Solution & Explanation:Use a common denominator of 12. Rename 2 1/3 as 2 4/12 and 7/12 as 7/12. Then 2 4/12 + 7/12 = 2 11/12, so the correct result is 2 11/12.

Problem 3Difficulty: Mastery

A student is choosing an area model for 1 4/9 − 5/12. Which choice shows the operation and the correct result?

AModel A: same-size rectangles are split into 36 equal parts, but the shaded amount is one part too many, giving 1 2/36 = 1 1/18.

BModel B: same-size rectangles are split into 36 equal parts; the model crosses out parts to show 1 16/36 − 15/36 = 1 1/36.

CModel C: same-size rectangles are split into 36 equal parts, but the shaded amount is one part too few, giving 1.

DModel D: the rectangles show 1 16/36 and 15/36 with the wrong operation, giving 1 31/36.

Solution & Explanation:Use a common denominator of 36. Rename 1 4/9 as 1 16/36 and 5/12 as 15/36. Then 1 16/36 − 15/36 = 1 1/36, so the correct result is 1 1/36.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this 5.54 Add and Subtract Fractions Using Visual Models worksheet?

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QIs this 5.54 Add and Subtract Fractions Using Visual Models worksheet free for teachers and homeschoolers?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 5 Math students. It aligns with educational standard 5.NF.A.1 (Primary standard selected for prompt fields in this prompt cell: CCSS 5.NF.A.1. Skill statement in this prompt cell: Select the correct visual model that matches a fraction addition or subtraction problem and identify the correct result. Choose the model, equation, or benchmark comparison that correctly supports the fraction operation. Associated standards listed with this skill in this prompt cell: CCSS 5.NF.A.1. Use this prompt-provided wording as the supporting standard description for this workflow.).