Fractions on a Number Line • Topic 1 of 3

Represent Fractions on a Number Line

A number line shows fractions between whole numbers. To plot a fraction:

  1. Divide the distance from 0 to 1 into equal parts (number = denominator)
  2. Count that many parts from 0 (number = numerator)

Example: 3/4 → divide into 4 equal parts, count 3 from 0.

Fractions on Number Lines011/2Halves011/41/23/4Fourths: 4 equal parts, 3/4 is 3 steps from 0
Solved Examples
1
Worked Example
Show 3/4 on a number line.
SolutionDivide 0-to-1 into 4 equal parts. Count 3 steps from 0. Mark the point at 3/4.
2
Worked Example
Where is 1/3 between 0 and 1?
SolutionDivide into 3 equal parts. 1/3 is the first mark after 0 — one-third of the way to 1.
3
Worked Example
Plot 1/2 and 3/4. Which is larger?
Solution3/4 is farther from 0 than 1/2. So 3/4 > 1/2.

Key Points

  • Denominator = total equal parts between 0 and 1.
  • Numerator = how many steps to count from 0.
  • Farther from 0 on number line = larger fraction.
Quick Check — 4 MCQs
Tap an option to check your answer0 / 4
Q1.A fraction shows a ___ of a whole.
Explanation: A part.
Q2.In $\tfrac14$, the whole is split into how many equal parts?
Explanation: Four.
Q3.On a number line, $\tfrac12$ is:
Explanation: Halfway.
Q4.The bottom number of a fraction tells the:
Explanation: Number of equal parts.
Practice more MCQs → 📝 Assignment · 35 marks