Resources/Equivalent fractions practice
Grades 4-5•Printable worksheet + answer key•CC0 license

Equivalent fractions practice

A printable lesson for generating and simplifying fractions.

Students create equivalent fractions by multiplying or dividing by the same number.

Print-ready worksheet with answer key and quick teaching tips.

Grades 4-50 problems10 minAnswer key included
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Ready-to-teach

Clear steps, examples, and practice in one printable page.

Misconception-proof

Highlights common mistakes and how to fix them quickly.

Open license

CC0: free to copy, adapt, and share without attribution.

Quick overview

This free equivalent fractions worksheet for grades 4-5 builds fluency with simplifying and expanding fractions.

Lesson plan snapshot

12-18 min
  • Warm-up (3 min): review multiplication facts.
  • Model (5 min): solve the worked example together.
  • Guided practice (4 min): complete problems 1-4 as a group.
  • Independent practice (6 min): finish the remaining problems.

Materials: fraction strips, pencil

Learning targets

  • Find equivalent fractions by scaling numerator and denominator.
  • Simplify fractions to lowest terms.
  • Explain why two fractions are equivalent.

Step-by-step approach

  1. 1Multiply or divide numerator and denominator by the same number.
  2. 2Check that the value stays the same.
  3. 3Use a common factor to simplify fractions.
  4. 4Verify with a model or number line.

Common mistakes

Mistake

Changing only the numerator or denominator.

Try instead

Multiply or divide both parts by the same number.

Mistake

Using different factors for numerator and denominator.

Try instead

Use one factor so the fraction stays equal.

Mistake

Forgetting to simplify to lowest terms.

Try instead

Divide by the greatest common factor.

Worked example

Guided
Find a fraction equivalent to 3/5 with denominator 15.
  1. 15 is 3 times 5.
  2. Multiply numerator by 3: 3 × 3 = 9.
  3. The equivalent fraction is 9/15.
Answer: 9/15

Related resources

Fractions

Operations with fractions and mixed numbers.

View resource

Intro to fractions

Unit fractions and equal parts practice.

View resource

Decimals

Decimal place value and comparison.

View resource

Practice problems

14 problems • 21 min

Printable worksheet
  1. 1
    Find an equivalent fraction: 13\frac{1}{3} (multiply by 3).
  2. 2
    Find an equivalent fraction: 12\frac{1}{2} (multiply by 2).
  3. 3
    Find an equivalent fraction: 23\frac{2}{3} (multiply by 4).
  4. 4
    Simplify: 820\frac{8}{20}
  5. 5
    Simplify: 39\frac{3}{9}
  6. 6
    Find an equivalent fraction: 23\frac{2}{3} (multiply by 3).
  7. 7
    Simplify: 36\frac{3}{6}
  8. 8
    Find an equivalent fraction: 12\frac{1}{2} (multiply by 4).
  9. 9
    Simplify: 2832\frac{28}{32}
  10. 10
    Find an equivalent fraction: 78\frac{7}{8} (multiply by 2).
  11. 11
    Find an equivalent fraction: 18\frac{1}{8} (multiply by 2).
  12. 12
    Simplify: 26\frac{2}{6}
  13. 13
    Simplify: 836\frac{8}{36}
  14. 14
    Simplify: 918\frac{9}{18}

Answer key

14 answers
  1. 11) 3/9
  2. 22) 2/4
  3. 33) 8/12
  4. 44) 2/5
  5. 55) 1/3
  6. 66) 6/9
  7. 77) 1/2
  8. 88) 4/8
  9. 99) 7/8
  10. 1010) 14/16
  11. 1111) 2/16
  12. 1212) 1/3
  13. 1313) 2/9
  14. 1414) 3/6

Teacher tips

  • TUse fraction strips to show equivalent sizes.
  • THighlight the role of the greatest common factor.
  • TEncourage students to check by cross multiplication.

Parent tips

  • PFold paper strips to show equal parts.
  • PAsk your child to explain why the fractions match.
  • PPractice simplifying fractions during homework time.

Open license

You are free to copy, adapt, and share these materials. No attribution required. Released under Creative Commons CC0 1.0 (public domain).