Free printable worksheet

Multiplying and Simplifying Fractions Worksheet

Twenty fraction multiplication problems emphasizing cross-canceling, mixed numbers, and fully simplified products.

Middle School MathGrades 5-73 pagesAnswer key included

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What this worksheet includes

  • Twenty fraction multiplication problems emphasizing cross-canceling, mixed numbers, and fully simplified products.
  • 3-page printable PDF with a complete answer key
  • Designed for Grades 5-7 middle school math practice
  • Available as an immediate free download with no email required

How to use it

Use this multiplying and simplifying fractions worksheet for guided practice, independent review, homework, tutoring sessions, or a quick skills check. The spacious layout is designed to leave room for students to show their work rather than guess from crowded answer choices.

After students finish, compare their reasoning with the included answer key. When an answer is incorrect, have the student locate the first step where their work changed direction before trying the problem again.

Who this practice is for

This resource is designed for grades 5-7 students working on middle school math. Teachers, tutors, homeschool families, and parents can preview the first page before deciding whether the level and spacing fit the student.

Looking for a broader sequence? Browse all Middle School Math worksheets.

Topic guide

How to approach multiplying and simplifying fractions

To multiply fractions, multiply numerators and multiply denominators. Unlike addition and subtraction, the factors do not need common denominators.

Cross-canceling divides a numerator and a denominator by a shared factor before multiplication. This keeps the arithmetic smaller while producing the same simplified product.

Learning objectives

  • Multiply proper and improper fractions
  • Cross-cancel common factors
  • Convert mixed numbers before multiplying

Skills to review first

  • Multiplication facts
  • Simplifying fractions
  • Converting mixed and improper fractions
Worked example

Follow the reasoning step by step

Multiply five eighths by twelve twenty-fifths.

  1. Look for cross-canceling opportunities before multiplying.
  2. Divide 5 and 25 by 5; divide 12 and 8 by 4.
  3. The remaining factors are one times three over two times five.
  4. Multiply and confirm the result is simplified.

Solution: Three tenths.

Try before downloading

Three sample problems

Work each problem, then open the answer to check your result.

Problem 1 · cross-canceling

2335\frac{2}{3}\cdot\frac{3}{5}

Show answer

25\frac{2}{5}

Problem 2 · fraction by whole number

348\frac{3}{4}\cdot8

Show answer

66

Problem 3 · mixed numbers

1342271\frac{3}{4}\cdot2\frac{2}{7}

Show answer

44

Error check

Common mistakes to watch for

  • Finding a common denominator before multiplying
  • Canceling terms joined by addition
  • Multiplying a mixed number without converting it