---
title: "Fractions on a number line (age 8+)"
description: "Represent fractions on a number line: partition the interval 0 to 1 into b equal parts to locate 1/b, then mark off a lengths of 1/b from 0 to locate a/b"
canonical: https://lightmysky.com/learn/mathematics/fractions-on-a-number-line-age-8-mt_NoB20kVa4w
source: https://lightmysky.com/learn/mathematics/fractions-on-a-number-line-age-8-mt_NoB20kVa4w.md
retrieved: 2026-10-19
---

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# Fractions on a number line (age 8+)

Represent fractions on a number line: partition the interval 0 to 1 into b equal parts to locate 1/b, then mark off a lengths of 1/b from 0 to locate a/b

Subject: Mathematics · Area: Fractions · Ages 8 to 9
Page: https://lightmysky.com/learn/mathematics/fractions-on-a-number-line-age-8-mt_NoB20kVa4w

## Ready when they can

- Partition a 0-to-1 number line into 4 equal parts and mark 1/4
- Explain that each part on the line has size 1/b
- Locate 1/3 and 1/6 on separate number lines
- Locate 3/4 on a number line by counting three 1/4-jumps from 0
- Place 5/6 on a number line and explain the process
- Identify a fraction shown by a point on a pre-partitioned number line

## Lesson: Fractions on a number line

A number line from 0 to 1 can be split into equal parts, the way a bed splits into equal strips. Split it into 5 equal parts, and each part is 1/5 long. To find 3/5, start at 0 and count 3 jumps of 1/5.

*(drawing: This line is split into 4 equal parts. Each part is 1/4, so the mark right after 0 is 1/4.)*

**Example.** To find 3/4, start at 0 and count three jumps of 1/4: 1/4, then 2/4, then 3/4. You land on 3/4.

Each number in a fraction has its own job. The bottom number tells you how many equal parts to split the line into. The top number tells you how many jumps to count from 0. The two jobs cannot be swapped: splitting the line into the top number and then jumping the bottom number lands you somewhere else entirely.

**Recap.** To place a fraction on a number line, split 0 to 1 into as many equal parts as the bottom number says. Then count off as many parts as the top number says, starting at 0.

## Practice

18 questions on this page, each with its working shown.

## Needs first

- [Fractions on a number line](https://lightmysky.com/learn/mathematics/fractions-on-a-number-line-mt_Kr3IyA6m-O)
- [Fractions of a whole](https://lightmysky.com/learn/mathematics/fractions-of-a-whole-mt_ndGqFPWyen)

## Opens up

- [Equivalent fractions on a number line](https://lightmysky.com/learn/mathematics/equivalent-fractions-on-a-number-line-mt_Ep7TDFuYUa)