Free Printable WorksheetMathGrade 6Math Curriculum6.NS.A.1

6.41 Divide Fractions by Whole Numbers and Whole Numbers by Fractions Using Models Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.41 Divide Fractions by Whole Numbers and Whole Numbers by Fractions Using Models. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which answer choice matches the visual model and gives the correct quotient when dividing a fraction by a whole number (or a whole number by a fraction)? (CCSS 6.NS.A.1; CA 6.NS.A.1; MA 6.NS.A.1; NY NY-6.NS.1; TX 19 TAC §111.26(b)(3)(A); FL MA.6.NSO.2.2; VA 6.CE.1a-b)

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 6

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 6.41 Divide Fractions by Whole Numbers and Whole Numbers by Fractions Using Models skill assessments:

Problem 1Difficulty: Mastery

Use the visual model for picnic-table covers. It shows 12 wholes partitioned into groups of size 5/6. Which answer choice matches the model and gives the quotient?

A12 ÷ 5/6 = 10; 10 groups of size 5/6 fit.

B12 ÷ 5/6 = 14 2/5; 14 2/5 groups of size 5/6 fit.

C12 ÷ 5/6 = 12 5/6; 12 5/6 groups of size 5/6 fit.

D12 ÷ 5/6 = 11 1/6; 11 1/6 groups of size 5/6 fit.

Solution & Explanation:The model counts how many groups of size 5/6 fit into 12 wholes. Use the reciprocal: 12 × 6/5 = 14 2/5, so 12 ÷ 5/6 = 14 2/5.

Problem 2Difficulty: Mastery

The model for bike-trail checkpoints asks how many copies of 7/9 can be made from 8 wholes. Which choice shows the quotient?

A8 ÷ 7/9 = 6 2/9; the jumps of 7/9 make 6 2/9 groups.

B8 ÷ 7/9 = 8 7/9; the jumps of 7/9 make 8 7/9 groups.

C8 ÷ 7/9 = 10 2/7; the jumps of 7/9 make 10 2/7 groups.

D8 ÷ 7/9 = 7 2/9; the jumps of 7/9 make 7 2/9 groups.

Solution & Explanation:The model counts how many groups of size 7/9 fit into 8 wholes. Use the reciprocal: 8 × 9/7 = 10 2/7, so 8 ÷ 7/9 = 10 2/7.

Problem 3Difficulty: Mastery

A grouping diagram for science-table strips starts with 10 wholes and circles groups that are 3/4 of a whole. Which answer choice matches?

A10 ÷ 3/4 = 7 1/2; there are 7 1/2 pieces of size 3/4.

B10 ÷ 3/4 = 10 3/4; there are 10 3/4 pieces of size 3/4.

C10 ÷ 3/4 = 9 1/4; there are 9 1/4 pieces of size 3/4.

D10 ÷ 3/4 = 13 1/3; there are 13 1/3 pieces of size 3/4.

Solution & Explanation:The model counts how many groups of size 3/4 fit into 10 wholes. Use the reciprocal: 10 × 4/3 = 13 1/3, so 10 ÷ 3/4 = 13 1/3.

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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 6 Math students. It aligns with educational standard 6.NS.A.1 (Divide Fractions by Whole Numbers and Whole Numbers by Fractions Using Models).