Free printable worksheet

Equivalent Fractions Worksheet

Twenty missing-value equations using equivalent fractions.

Elementary MathGrades 3-53 pagesAnswer key included

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What this worksheet includes

  • Twenty missing-value equations using equivalent fractions.
  • 3-page printable PDF with a complete answer key
  • Designed for Grades 3-5 elementary math practice
  • Available as an immediate free download with no email required

How to use it

Use this equivalent 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 3-5 students working on elementary 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 Elementary Math worksheets.

Topic guide

How to approach equivalent fractions

Equivalent fractions name the same amount with different-sized parts. Multiplying or dividing the numerator and denominator by the same nonzero number preserves the fraction's value.

Visual models and cross products can verify equivalence, but the scale factor explains how one fraction changes into the other.

Learning objectives

  • Generate equivalent fractions
  • Find a missing numerator or denominator
  • Simplify fractions using common factors

Skills to review first

  • Fraction numerator and denominator
  • Multiplication facts
  • Common factors
Worked example

Follow the reasoning step by step

Find n so ¾ = n⁄20.

  1. Compare denominators: 4 × 5 = 20.
  2. Multiply the numerator by the same factor.
  3. Compute 3 × 5 = 15.
  4. Check that both fractions simplify to ¾.

Solution: n = 15, so ¾ = 15⁄20.

Try before downloading

Three sample problems

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

Problem 1 · missing numerator

½ = □⁄8

Show answer

4⁄8

Problem 2 · simplifying

6⁄9 = □⁄3

Show answer

2⁄3

Problem 3 · checking equivalence

Are 8⁄12 and ⅔ equivalent?

Show answer

Yes; 8⁄12 simplifies to ⅔.

Error check

Common mistakes to watch for

  • Scaling only the numerator
  • Adding the same number instead of multiplying
  • Using different scale factors above and below