Free Printable WorksheetMathGrade 7Math Curriculum7.59

7.59 Complex fractions and rational division in context Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.59 Complex fractions and rational division in context. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.59 Complex fractions and rational division in context - In multiple-choice items, students select the simplified value of a complex fraction and identify the rate it represents in context. (CCSS 7.RP.A.1; CCSS 7.NS.A.2; FL MA.7.NSO.2.2; TX 7.4(B); VA 7.CE.2)

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 7

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

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Below are sample questions representative of the exercises included on this worksheet and related 7.59 Complex fractions and rational division in context skill assessments:

Problem 1Difficulty: Mastery
A total amount is made by combining 3 pounds and 7/13 pounds. The total is spread evenly across 2 boxes. What is the unit rate in pounds per box?
Solution & Explanation:First find the total amount: 10/3 + 7/13 = 151/39 pounds. Then divide by 28/11 box: 151/39 ÷ 28/11 = 151/39 × 11/28 = 1661/1092. So the rate is 1661/1092 pounds per box.
Problem 2Difficulty: Mastery
At the art arena, Zoe used 3 9/16 ounces of potting soil over 2 11/18 serving. Which option shows the simplified unit rate in ounces per serving?
A893/96 ounces per serving
B376/513 ounces per serving
C57/16 ounces per serving
D513/376 ounces per serving
Solution & Explanation:Compute the unit rate by dividing: 3 9/16 ÷ 2 11/18 = 57/16 × 18/47 = 513/376 ounces per serving.
Problem 3Difficulty: Mastery
A rate compares in points to games. The amount is 1 2/3 in points for 5/6 games. What is the unit rate in in points per game? (Compute 1 2/3 ÷ 5/6.)
Solution & Explanation:Unit rate means divide the first quantity by the second: 1 2/3 ÷ 5/6 = 5/3 ÷ 5/6 = 5/3 × 6/5 = 2. So the rate is 2 points per game.

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 7 Math students. It aligns with educational standard 7.59 (Practice and review Grade 7 math skill 7.59: Complex Fractions and Rational Division in Context.).

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