Fractions on a Number Line | Year 4 Guide
30 October 2026 · Pi Leo Academy
Watch this Pi Leo Academy lesson on YouTube. Pause whenever you want to try a step yourself.
A fraction is a number with a position, just like 0, 1 or 2. A number line helps your child see where fractions belong and what happens when the count goes beyond one whole. Start with a ruler, paper and a clear space to draw.
Find the size of one whole first
Mark 0 and 1 on a line. The distance between them represents one whole. To show quarters, divide that distance into four equal spaces. The denominator, four, tells us how many equal parts make one whole.
There will be five tick marks including both endpoints: 0, 1/4, 2/4, 3/4 and 4/4. Four quarters make one whole, so the last point can also be labelled 1.
Worked example: where does 3/4 go?
- Start at zero.
- Check that the interval from 0 to 1 has four equal spaces.
- Move three of those spaces to the right.
- Label the point 3/4.
The numerator, three, tells us how many quarter-sized steps to take. The denominator tells us the size of each step. We count the spaces travelled, not zero as the first step.
Keep counting after one
Extend the line to 2, keeping the distance from 1 to 2 equal to the distance from 0 to 1. Divide each whole into four equal parts. The count continues: 1/4, 2/4, 3/4, 4/4, 5/4, 6/4, 7/4, 8/4.
Five quarters is one whole and one quarter, written 1 1/4. Six quarters is one whole and two quarters, which is also 1 1/2. The labels change, but the point on the line stays in the same place.
For halves, each whole has two equal spaces. For thirds, each whole has three. The same method works: establish the whole, divide it equally, then count the required steps.
The tick-mark trap
Four tick marks between the endpoints do not create four spaces; they create five. Count the gaps carefully. Also check that every gap representing the same fraction is equal in length. Uneven spacing can make a correct label appear in the wrong position.
Another useful check is direction. Moving right increases the number. Moving left decreases it. If you start at one and move one quarter left, you reach 3/4.
Two questions to try
- Start at zero and take five half-sized steps to the right. Where do you finish?
- Start at 1 and take one third-sized step to the right. Name the point as a mixed number and an improper fraction.
Answers: 1. 2 1/2, or 5/2. 2. 1 1/3, or 4/3.
Ask your child to draw both answers and explain why the whole intervals stay the same length. Their drawing gives you something concrete to discuss together.
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