Free Printable WorksheetMathGrade 5Math Curriculum5.NF.B.7

5.64 Use Visual Models to Divide Unit Fractions by Whole 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 5.64 Use Visual Models to Divide Unit Fractions by Whole Numbers. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Skill description: Select the correct model or equation for dividing a unit fraction by a whole number and identify the correct quotient. Choose the model, equation, or benchmark comparison that correctly supports the fraction operation. Corresponding standards: CCSS 5.NF.B.7.

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 5.64 Use Visual Models to Divide Unit Fractions by Whole Numbers skill assessments:

Problem 1Difficulty: Mastery
A number line model goes from 0 to 1/13 and divides that interval into 12 equal jumps. Which equation and quotient match the model?
A1/13 ÷ 12 = 1/25
B1/13 ÷ 12 = 1/156
C1/13 × 12 = 12/13
D12 ÷ 1/13 = 156
Solution & Explanation:The model partitions the distance 1/13 into 12 equal lengths. Each length is 1/13 ÷ 12, or 1/156.
Problem 2Difficulty: Mastery
How does the quotient 1/19 ÷ 8 compare with the starting fraction 1/19?
AIt is larger than 1/19 because division always makes numbers larger.
BIt is equal to 1/19 because the numerator stays 1.
CIt is 1/27 because 19 and 8 are added.
DIt is smaller than 1/19 because the 1/19 piece is divided into 8 equal shares.
Solution & Explanation:The quotient is 1/152. Since 152 is greater than 19, 1/152 is smaller than 1/19.
Problem 3Difficulty: Mastery
Which model-and-equation pair correctly represents 1/24 ÷ 9?
AModel: one 1/24 part cut into 9 equal shares; Equation: 1/24 ÷ 9 = 1/216.
BModel: one 1/24 part cut into 9 equal shares; Equation: 1/24 ÷ 9 = 1/33.
CModel: 9 parts of size 1/24 shaded; Equation: 1/24 × 9 = 3/8.
DModel: a whole split into 9 equal parts; Equation: 9 ÷ 1/24 = 216.
Solution & Explanation:The model must divide the 1/24 part, not the whole number, into 9 equal shares. That quotient is 1/216.

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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.B.7 (Primary standard selected for prompt fields in this prompt cell: CCSS 5.NF.B.7. Skill statement in this prompt cell: Select the correct model or equation for dividing a unit fraction by a whole number and identify the correct quotient. 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.B.7. Use this prompt-provided wording as the supporting standard description for this workflow.).

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