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5th Grade Mixed Numbers and Improper Fractions Worksheet

Convert improper fractions to mixed numbers and back, keeping the denominator the same.

  • Homework
  • Review
  • Test Prep
  • Tutoring

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Worksheet details

Grade
5th Grade
Subject
Math
Skill
Fractions
Topic
converting mixed numbers and improper fractions
Difficulty
Standard
Time
16 minutes
Pages
2 (incl. answer key)
Format
Printable PDF (US Letter)
Answer key
Included
Best for
homework, review, test prep, tutoring

What This Worksheet Practices

Students will convert between improper fractions and mixed numbers.

  • Improper fraction to mixed number (divide)
  • Mixed number to improper fraction (multiply and add)
  • Keeping the denominator unchanged

Worksheet Preview

Preview of Mixed Numbers and Improper Fractions Worksheet

Two ways to write the same amount

A mixed number (3 1/2) and an improper fraction (7/2) name the same amount in different forms. Going from improper to mixed is a division: 7 / 2 = 3 with 1 left over, so 7/2 = 3 1/2. Going back, you multiply the whole number by the denominator and add the numerator. The denominator never changes.

How to use it

For improper to mixed, divide the top by the bottom (quotient = whole, remainder = new numerator). For mixed to improper, multiply the whole by the bottom and add the top. Builds on equivalent fractions and supports adding fractions.

👩‍🏫 Teacher note

Improper to mixed: divide the numerator by the denominator; the quotient is the whole, the remainder is the new numerator. Mixed to improper: multiply the whole by the denominator and add the numerator.

🏠 Parent note

To change 7/2 to a mixed number, divide 7 by 2: 3 with 1 left over, so 3 1/2.

Common Mistakes to Watch For

  • Forgetting to keep the same denominator
  • Mixing up the numerator and denominator when converting back

Answer Key

Each answer shows the converted form.

⬇ Download Answer Key (PDF)

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