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

6.42 Divide Fractions by Fractions and Interpret the Quotient Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.42 Divide Fractions by Fractions and Interpret the Quotient. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which answer choice gives the correct quotient for the fraction division problem and matches its interpretation in the context? (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 6.42 Divide Fractions by Fractions and Interpret the Quotient skill assessments:

Problem 1Difficulty: Mastery

At a steady rate, Omar archived 11/12 file boxes in 22/45 hour. Select the quotient and what it means per 1 hour.

Aquotient = 121/270; the unit rate is 121/270 file boxes per hour.

Bquotient = 1 7/8; at that rate, Omar would archive 1 7/8 file boxes in 1 hour.

Cquotient = 8/15; 1 file box would take 8/15 hour.

Dquotient = 1 7/8; this treats 1 7/8 as the time needed for 1 file box.

Solution & Explanation:Divide by multiplying by the reciprocal: 11/12 divided by 22/45 = 11/12 x 45/22 = 1 7/8. Because the division is amount divided by time, 1 7/8 is the amount for 1 hour.

Problem 2Difficulty: Mastery

A partial-time measurement is 13/24 of a sheet of decals for 5/18 hour. Choose the quotient and the meaning for one full hour.

Aquotient = 1 19/20; the digital cutter's full-unit amount is 1 19/20 sheets of decals.

Bquotient = 1 19/20; this treats 1 19/20 sheets of decals as the amount for 5/18 hour, not one full hour.

Cquotient = 65/432; one full hour would correspond to 65/432 of a sheet of decals.

Dquotient = 20/39; 5/18 hour would correspond to 20/39 of a sheet of decals.

Solution & Explanation:Divide by multiplying by the reciprocal: 13/24 divided by 5/18 = 13/24 x 18/5 = 1 19/20. Dividing by the fractional part scales the amount up to one full hour, so the result is 1 19/20 sheets of decals.

Problem 3Difficulty: Mastery

A ratio comparison uses 9/10 meter for the oak plank and 27/40 meter for the maple plank. Which choice correctly interprets 9/10 divided by 27/40?

Aquotient = 3/4; the oak plank is 3/4 times as much as the maple plank.

Bquotient = 1 1/3; this treats 1 1/3 as an added difference instead of a comparison factor.

Cquotient = 243/400; the oak plank is 243/400 times as much as the maple plank.

Dquotient = 1 1/3; the measure of the oak plank is 1 1/3 times the measure of the maple plank.

Solution & Explanation:Divide by multiplying by the reciprocal: 9/10 divided by 27/40 = 9/10 x 40/27 = 1 1/3. The quotient compares the first measure to the second, so the first is 1 1/3 times as much as the second.

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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 Fractions and Interpret the Quotient).