Equivalent Fractions Explained: A Simple Guide for Parents and Children

Last updated: 7 June 2026

Equivalent fractions are one of the first fraction concepts children learn in primary school. Understanding them is essential — they form the basis for adding, subtracting, comparing, and simplifying fractions. This guide explains what equivalent fractions are, how to find them, and how to help your child master them at home.

What Are Equivalent Fractions?

Equivalent fractions are fractions that look different but represent the same value. They have different numerators (top numbers) and denominators (bottom numbers), but if you simplify them or compare them visually, they are equal.

For example:

1/2 is the same as 2/4, which is the same as 3/6, which is the same as 4/8.
2/3 is the same as 4/6, which is the same as 6/9.

Think of slicing a pizza. If you cut it into 4 slices and take 2, you have the same amount as if you cut it into 8 slices and take 4. Both are half the pizza — they are equivalent fractions.

When Do Children Learn Equivalent Fractions?

In the national curriculum, equivalent fractions are introduced in Year 3 and developed further through Years 4, 5, and 6:

Year 3: Recognise simple equivalents like 1/2 = 2/4.
Year 4: Find families of equivalent fractions using multiplication.
Year 5: Identify, name, and write equivalent fractions, including simplifying.
Year 6: Use equivalents to add and subtract fractions with different denominators.

How to Find Equivalent Fractions

There are two main methods, and both follow the same rule: whatever you do to the denominator, you must also do to the numerator.

Method 1: Multiply the Top and Bottom by the Same Number

To create an equivalent fraction, multiply both the numerator and denominator by the same number:

1/3 → multiply both by 2 → 2/6
1/3 → multiply both by 3 → 3/9
1/3 → multiply both by 4 → 4/12

All of these — 1/3, 2/6, 3/9, 4/12 — are equivalent fractions.

Method 2: Divide the Top and Bottom by the Same Number (Simplifying)

To simplify a fraction, divide both the numerator and denominator by the same number (a common factor):

6/8 → divide both by 2 → 3/4
10/15 → divide both by 5 → 2/3
12/16 → divide both by 4 → 3/4

When a fraction cannot be simplified any further, it is in its simplest form.

Visual Methods That Help Children Understand

Many children find fractions easier to understand when they can see them. Here are three approaches:

Fraction Walls

A fraction wall shows bars of different sizes stacked on top of each other. Children can see at a glance that 1/2 lines up exactly with 2/4, 3/6, and 4/8. You can print fraction walls from BBC Bitesize or draw your own.

Shaded Shapes

Draw two identical circles or rectangles. Divide one into 4 parts and shade 2. Divide the other into 8 parts and shade 4. Ask your child: “Which has more shaded?” When they see both have the same amount, they have understood equivalence.

Number Lines

Draw a number line from 0 to 1. Mark 1/2 on it. Then draw another number line the same length and mark 2/4. Children can see the marks fall at exactly the same point.

Common Mistakes to Watch For

Adding to top and bottom instead of multiplying. A child might think 1/3 + 1 on top and + 1 on bottom gives 2/4. It does not — you must multiply by the same number, not add.
Only changing the numerator or only the denominator. Both must change by the same factor.
Confusing equivalent with equal numerators. 1/3 and 1/5 have the same numerator but are not equivalent — the denominators are different sizes.

Practice Exercises to Try at Home

Here are some exercises you can work through together:

Find the Missing Number

1/2 = ?/6 → (Answer: 3/6)
2/5 = ?/10 → (Answer: 4/10)
3/4 = 9/? → (Answer: 9/12)
4/? = 8/14 → (Answer: 4/7)

True or False?

2/3 = 6/9 → True
3/5 = 6/15 → False (6/15 = 2/5)
4/8 = 1/2 → True

Simplify These Fractions

6/10 → 3/5
8/12 → 2/3
15/20 → 3/4

How StudyBox Can Help

At StudyBox, our maths tutors use visual aids, step-by-step worksheets, and plenty of practice to make sure fractions click. Whether your child is just starting equivalent fractions in Year 3 or revising for SATs in Year 6, our small-group lessons give them the focused attention they need.

Book a free trial lesson at our centres in Wallington, Sutton, or Croydon.