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Fractions — 3rd Grade Lesson

Students will understand fractions as equal parts of a whole, identify equivalent fractions with models, and compare fractions with like denominators.

3rd Grade · Fractions · ~25 min lesson

What is a fraction?

A fraction is a part of a whole. It’s written with two numbers:

  • The numerator (top) — how many parts we have.
  • The denominator (bottom) — how many equal parts the whole is split into.

3/4 = 3 parts out of 4 equal parts

Equal parts matter

The parts must be equal. Half of a pizza split into two equal slices is 1/2. Splitting into four equal slices makes 1/4.

Fractions of a shape

Fractions name parts of shapes:

  • A circle cut into 2 equal parts → 1/2 is one half.
  • A rectangle cut into 3 equal parts → 1/3 is one third.
  • A square cut into 4 equal parts → 1/4 is one fourth.

Equivalent fractions

Equivalent fractions name the same amount. With a model, two fractions are equivalent when they cover the same space.

1/2 = 2/4 (two fourths cover the same as one half)

Comparing fractions

  • Same denominator? Compare numerators: 3/5 > 2/5.
  • Same numerator? The smaller denominator is the bigger fraction: 1/2 > 1/4.

Fractions on a number line

Fractions sit between whole numbers. Halfway between 0 and 1 is 1/2; halfway between 1 and 2 is 1 1/2.

How to practice at home

  • Cut food into equal parts: share a pizza or a sandwich and name the fractions.
  • Fold paper into halves, fourths, and eighths.
  • Draw fraction bars for 1/2 vs 1/4 to see which is bigger.
  • Fraction hunt: point to half, third, or quarter of everyday objects.

Practice with the exercises above, then download these free printable worksheets:

Practice Exercises

Try these on your own, then reveal the answer to check.

  1. In the fraction 3/4, what is the numerator?

    💡 The numerator is the top number — the parts we have.

  2. In the fraction 3/4, what is the denominator?

    💡 The denominator is the bottom number — the equal parts total.

  3. What fraction of a pizza is one of four equal slices?

    💡 One part out of four.

  4. Which is bigger: 1/2 or 1/4?

    💡 Fewer parts means each part is bigger.

  5. Is 2/4 equivalent to 1/2?

    💡 Two fourths covers the same amount as one half.

  6. What fraction is at the halfway point of a number line from 0 to 1?

    💡 Halfway between 0 and 1 is one half.

Printable Worksheets

Put this lesson into practice with free, printable worksheets — each with an answer key.

Before You Start

  • Shapes and equal parts from 2nd grade
  • Division basics

Common Mistakes to Watch For

  • Confusing the numerator and denominator
  • Thinking bigger denominators mean bigger fractions (1/4 is not greater than 1/2)

What to Learn Next

Browse more Fractions worksheets or explore all 3rd Grade worksheets.

Related Worksheets

Preview of the 3rd Grade Comparing Fractions for 3rd Grade
🔢Math Standard

3rd Grade Comparing Fractions

Compare two fractions using >, <, or =. Use the rules for same numerator and same denominator.

3rd Grade 15 min ✓ Answer key
Preview of the Fractions of a Shape Worksheet for 3rd Grade
🔢Math Easy

Fractions of a Shape Worksheet

Look at each bar and write the fraction that is shaded — the shaded parts over the total equal parts.

3rd Grade 12 min ✓ Answer key

Frequently Asked Questions

What fractions does a 3rd grader need to know?

Understand fractions as equal parts of a whole, name simple fractions like halves, thirds, and fourths, find equivalent fractions with models, and compare fractions with the same denominator.

Why is 1/4 smaller than 1/2?

Because 1/4 means one of four equal parts — cutting something into four pieces makes each piece smaller than cutting it into two. A bigger denominator means smaller pieces.

Original & reviewed. Every worksheet is created in-house from a grade-level skill brief, checked for a correct answer key, and reviewed for grade-appropriateness. Our editorial policy.