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Study Guide4th GradeLevel 1 · Easier

Free 4th Grade Fractions: Introduction and Equivalent Fractions

Introduces what the top and bottom numbers of a fraction mean, shows fractions on a number line, and explains why one half and two quarters are the same amount. Includes worked examples and a self-check so parents can see what their child should be able to do.

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Grade
4th Grade
Subject
Math
Topic
Fractions
Difficulty
Level 1 · Easier
Estimated time
15 minutes
Curriculum
Texas grade levels (TEKS)
Answers
Not applicable
Format
PDF (A4) + print

Students will practice

  • understanding numerators and denominators
  • placing fractions on a number line
  • finding equivalent fractions by multiplying
  • adding fractions that make a whole

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: Introduction and Equivalent Fractions

  1. 14th Grade Equivalent Fractions Worksheet — Level 1
  2. 24th Grade Equivalent Fractions Worksheet — Level 1 (Set 2)
  3. 34th Grade Equivalent Fractions Worksheet — Level 2
  4. 44th 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?

4th Grade students (typically ages 9–10) working on fractions. It is pitched at level 1 · easier.

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 15 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 4th Grade Equivalent Fractions Worksheet — Level 1, then check understanding with the 4th Grade Fractions Topic Test.

Preview

Success TutoringWorksheets4th Grade · Mathematics · Fractions

Fractions: Introduction and Equivalent Fractions

What you need to know

A fraction describes part of a whole. The bottom number, the denominator, tells you how many equal parts the whole has been cut into. The top number, the numerator, tells you how many of those parts you are talking about. In , the whole is cut into 4 equal parts and we have 3 of them.

Reading a fraction

  1. A pizza is cut into 8 equal slices and 5 slices have been eaten.
  2. The denominator is 8 (8 equal parts).
  3. The numerator is 5 (5 of those parts).
  4. The fraction eaten is . The fraction left is , because 5 + 3 = 8.

Fractions on a number line. Fractions are numbers, so they sit on a number line between 0 and 1. If you split the space from 0 to 1 into 4 equal jumps, the marks are , , and then , which is the same as 1. Counting in quarters sounds like: one quarter, two quarters, three quarters, one whole.

Equivalent fractions

Equivalent fractions are different names for the same amount. Half a sandwich is the same as two quarters of the sandwich: = = . You make an equivalent fraction by multiplying the numerator and the denominator by the same number. Multiplying both by 2 cuts every piece in half, so you have twice as many pieces that are each half the size — the amount does not change.

HalvesQuartersEighths
= 1 = 1 = 1

Find the missing number: =

  1. Look at the denominators: 3 has become 6. That is 3 × 2.
  2. Do the same to the numerator: 2 × 2 = 4.
  3. So = .
Common mistake: adding the same number to the top and bottom. does not equal — one half is less than two thirds. You must multiply (or divide) both parts by the same number.

Adding fractions with the same denominator

When the denominators are the same, the pieces are the same size, so you just count them: + = . If the answer is a whole, say so: + = = 1. A number like 1 (one and a half) is called a mixed number.

Check yourself

  1. A chocolate bar has 5 equal pieces and you eat 2. What fraction did you eat?
  2. =
  3. =
  4. Is equivalent to ?
  5. + = ?
  6. How many quarters make 2 wholes?

Answers: 1. 2. 4 3. 9 4. Yes (divide the top and bottom of by 2) 5. 6. 8

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

Preview — the PDF contains the full resource.

  • Worksheet

    4th 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

    4th Grade Equivalent Fractions Worksheet — Level 1 (Set 2)

    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

    4th 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

    4th 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

    4th 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

    4th 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 4th Grade…

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

    4th 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

    4th 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 4th…

    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

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