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Study Guide5th GradeLevel 2 · Standard

Free 5th Grade Fractions: Equivalent, Simplifying, Comparing and Adding

Covers the four fraction skills 5th grade students need most: making equivalent fractions, simplifying to lowest terms, comparing fractions with different denominators, and adding or subtracting fractions with the same denominator. Each skill has a worked example and a common-mistake warning.

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Grade
5th Grade
Subject
Math
Topic
Fractions
Difficulty
Level 2 · Standard
Estimated time
20 minutes
Curriculum
Texas grade levels (TEKS)
Answers
Not applicable
Format
PDF (A4) + print

Students will practice

  • understanding equivalent fractions
  • simplifying fractions using the highest common factor
  • comparing fractions with different denominators
  • adding and subtracting fractions with like denominators

Curriculum: Texas grade levels (TEKS). We show specific outcome codes only where they have been verified against the official curriculum document.

What's next?

Completed: Fractions: Equivalent, Simplifying, Comparing and Adding

  1. 15th Grade Equivalent Fractions Worksheet — Level 1
  2. 25th Grade Equivalent Fractions Worksheet — Level 2
  3. 35th Grade Equivalent Fractions Worksheet — Level 2 (Set 2)
  4. 45th Grade Equivalent Fractions Worksheet — Level 3

How to use this study guide

  1. Read it together first, pausing at each worked example to try the step before reading the answer.
  2. Attempt the "Check yourself" questions at the end without looking back.
  3. Then practice with a worksheet from the pathway above and finish with the topic test.

Common questions

Who is this study guide for?

5th Grade students (typically ages 10–11) working on fractions. It is pitched at level 2 · standard.

Are the answers included?

This is a study guide, so there is no separate answer sheet; the 'Check yourself' questions include answers.

How long does it take?

About 20 minutes. Short, regular sessions work best: two or three a week beats one long one.

Do I need to sign up to download?

No. Click Download Free PDF and it opens immediately. It is free for personal, classroom and homeschool use.

What should we do next?

Try 5th Grade Equivalent Fractions Worksheet — Level 1, then check understanding with the 5th Grade Fractions Topic Test.

Preview

Success TutoringWorksheets5th Grade · Mathematics · Fractions

Fractions: Equivalent, Simplifying, Comparing and Adding

What you need to know

Fractions can look different but be worth the same amount, and the same fraction can be written in many ways. The key idea behind everything in this guide is simple: whatever you do to the numerator, do to the denominator (as long as you multiply or divide). This lets you rename a fraction so that you can simplify it, compare it with another fraction, or add it to one.

Equivalent fractions. Multiply or divide the top and bottom by the same number and the value does not change: = = . All three are the same point on the number line.

Simplifying. A fraction is in its simplest form when the only number that divides into both the numerator and the denominator is 1. To simplify, divide both by their highest common factor (HCF). If you cannot spot the HCF, divide by any common factor and repeat.

Simplify and

  1. : factors of 8 are 1, 2, 4, 8 and factors of 12 are 1, 2, 3, 4, 6, 12, so the HCF is 4.
  2. 8 ÷ 4 = 2 and 12 ÷ 4 = 3, so = [frac 2/3].
  3. : both numbers end in 5 or 0, so 5 divides into both.
  4. 15 ÷ 5 = 3 and 20 ÷ 5 = 4, so = [frac 3/4]. Check: 3 and 4 share no factor except 1, so you are finished.

Comparing fractions. If the denominators are the same, the fraction with the bigger numerator is bigger: > . If the denominators are different, rename both fractions with a common denominator first.

Which is larger: or ?

  1. Find a common denominator. 12 is a multiple of both 3 and 4.
  2. = (multiply top and bottom by 4).
  3. = (multiply top and bottom by 3).
  4. 9 twelfths is more than 8 twelfths, so [frac 3/4] is larger.
Quick check using benchmarks: compare each fraction with . is less than a half (half of 8 is 4) and is more than a half (half of 9 is 4.5), so is larger without any renaming.

Adding and subtracting with the same denominator. When the denominators match, the pieces are the same size. Add or subtract the numerators only and keep the denominator. Simplify the answer if you can.

− , then +

  1. − : 7 − 3 = 4, so the answer is .
  2. Simplify: 4 and 10 share the factor 2, so = [frac 2/5].
  3. + : 5 + 3 = 8, so the answer is .
  4. This is more than a whole. 6 sixths make 1, leaving 2 sixths: = 1.
  5. Simplify the fraction part: 1 = 1[frac 1/3].
Common mistake: adding the denominators as well. + is , not . The denominator just names the size of the piece; it does not get added.

Check yourself

  1. Simplify .
  2. =
  3. Which is larger: or ?
  4. + = ?
  5. − = ? (simplify your answer)
  6. Simplify .

Answers: 1. 2. 12 3. (it equals ) 4. 5. = 6.

Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Preview — the PDF contains the full resource.

  • Worksheet

    5th Grade Equivalent Fractions Worksheet — Level 1

    Find missing numerators and denominators in equivalent fractions and identify equivalent pairs. Builds confidence with the core skill…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    5th Grade Equivalent Fractions Worksheet — Level 2

    Find missing numerators and denominators in equivalent fractions and identify equivalent pairs. Expected-level practice for this grade.…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    5th Grade Equivalent Fractions Worksheet — Level 2 (Set 2)

    Find missing numerators and denominators in equivalent fractions and identify equivalent pairs. Expected-level practice for this grade.…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    5th Grade Equivalent Fractions Worksheet — Level 3

    Find missing numerators and denominators in equivalent fractions and identify equivalent pairs. A challenge set for students ready to…

    Difficulty
    Level 3 · Challenge
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    5th Grade Simplifying Fractions Worksheet — Level 1

    Write fractions in their simplest form by dividing by the highest common factor. Builds confidence with the core skill before adding…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    16 questions
    Answers
    Answers included
  • Worksheet

    5th Grade Simplifying Fractions Worksheet — Level 2

    Write fractions in their simplest form by dividing by the highest common factor. Expected-level practice for this grade. This 5th Grade…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    16 questions
    Answers
    Answers included
  • Worksheet

    5th Grade Simplifying Fractions Worksheet — Level 3

    Write fractions in their simplest form by dividing by the highest common factor. A challenge set for students ready to stretch further.…

    Difficulty
    Level 3 · Challenge
    Time
    15 min
    Questions
    16 questions
    Answers
    Answers included
  • Worksheet

    5th Grade Comparing and Ordering Fractions Worksheet — Level 1

    Compare fractions using <, > or = and order sets of fractions. Builds confidence with the core skill before adding complexity. This 5th…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included

Fractions in other year levels

About this resource

Created by
Success Tutoring
Last reviewed
1 October 2026
How it was made
Written by our team

Free to print and share for personal, classroom and homeschool use. Please don't resell. Spotted an error? Let us know.