Free Printable WorksheetMathGrade 5Math Curriculum5.NF.A.2

5.66 Solve Multi Step Problems with Fractions and Mixed Numbers Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 5 Math worksheet provides structured practice on 5.66 Solve Multi Step Problems with Fractions and Mixed Numbers. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Skill description: Select the correct sequence of operations and final answer for a multi-step problem involving fractions or mixed numbers. Select the option that shows a correct common-denominator or equivalence strategy for the situation. Corresponding standards: CCSS 5.NF.A.2; CCSS 5.NF.B.6; CCSS 5.NF.B.7; CCSS MP1.

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 5.66 Solve Multi Step Problems with Fractions and Mixed Numbers skill assessments:

Problem 1Difficulty: Mastery

A fundraiser model asks for 9 1/5 − 4 3/10 + 2 1/2 − 7/20. Which option shows a correct common-denominator or equivalence strategy?

AUse denominator 20: rewrite the fractions, but add every amount, so 9 1/5 + 4 3/10 + 2 1/2 + 7/20 = 16 7/20 boxes

BAdd or subtract numerators and denominators directly, giving 1/37 boxes

CUse denominator 22: 9 1/5 = 202/22, 4 3/10 = 95/22, 2 1/2 = 55/22, 7/20 = 8/22, then compute the result

DUse denominator 20: 9 1/5 = 184/20, 4 3/10 = 86/20, 2 1/2 = 50/20, 7/20 = 7/20, so 9 1/5 − 4 3/10 + 2 1/2 − 7/20 = 7 1/20 boxes

Solution & Explanation:A correct strategy uses a denominator every fraction can share. With denominator 20, 9 1/5 = 184/20, 4 3/10 = 86/20, 2 1/2 = 50/20, 7/20 = 7/20; then 9 1/5 − 4 3/10 + 2 1/2 − 7/20 = 7 1/20 boxes.

Problem 2Difficulty: Mastery

A lab table calculation uses 2 11/12 + 1 5/8 − 3/4 + 5/6. Which option shows a correct common-denominator or equivalence strategy?

AUse denominator 24: rewrite the fractions, but add every amount, so 2 11/12 + 1 5/8 + 3/4 + 5/6 = 6 1/8 liters

BAdd or subtract numerators and denominators directly, giving 1 2/3 liters

CUse denominator 24: 2 11/12 = 70/24, 1 5/8 = 39/24, 3/4 = 18/24, 5/6 = 20/24, so 2 11/12 + 1 5/8 − 3/4 + 5/6 = 4 5/8 liters

DUse denominator 12: 2 11/12 = 35/12, 1 5/8 = 20/12, 3/4 = 9/12, 5/6 = 10/12, then compute the result

Solution & Explanation:A correct strategy uses a denominator every fraction can share. With denominator 24, 2 11/12 = 70/24, 1 5/8 = 39/24, 3/4 = 18/24, 5/6 = 20/24; then 2 11/12 + 1 5/8 − 3/4 + 5/6 = 4 5/8 liters.

Problem 3Difficulty: Mastery

A ribbon design is represented by 7 7/8 − 2 2/3 + 1 1/6 − 3/4. Which option shows a correct common-denominator or equivalence strategy?

AUse denominator 24: rewrite the fractions, but add every amount, so 7 7/8 + 2 2/3 + 1 1/6 + 3/4 = 12 11/24 yards

BUse denominator 24: 7 7/8 = 189/24, 2 2/3 = 64/24, 1 1/6 = 28/24, 3/4 = 18/24, so 7 7/8 − 2 2/3 + 1 1/6 − 3/4 = 5 5/8 yards

CAdd or subtract numerators and denominators directly, giving 2 17/21 yards

DUse denominator 8: 7 7/8 = 63/8, 2 2/3 = 21/8, 1 1/6 = 9/8, 3/4 = 6/8, then compute the result

Solution & Explanation:A correct strategy uses a denominator every fraction can share. With denominator 24, 7 7/8 = 189/24, 2 2/3 = 64/24, 1 1/6 = 28/24, 3/4 = 18/24; then 7 7/8 − 2 2/3 + 1 1/6 − 3/4 = 5 5/8 yards.

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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 5 Math students. It aligns with educational standard 5.NF.A.2 (Primary standard selected for prompt fields in this prompt cell: CCSS 5.NF.A.2. Skill statement in this prompt cell: Select the correct sequence of operations and final answer for a multi-step problem involving fractions or mixed numbers. Select the option that shows a correct common-denominator or equivalence strategy for the situation. Associated standards listed with this skill in this prompt cell: CCSS 5.NF.A.2; CCSS 5.NF.B.6; CCSS 5.NF.B.7; CCSS MP1. Use this prompt-provided wording as the supporting standard description for this workflow.).