Fractions on a Number Line • Topic 2 of 3

Compare Fractions

Same denominator: bigger numerator = bigger fraction (5/8 > 3/8)

Same numerator: smaller denominator = bigger fraction (1/3 > 1/4, because thirds are bigger than fourths)

Same denominator (eighths)013/85/85/8 > 3/8 (farther from 0)Same numerator (1)011/41/31/3 > 1/4 (fewer cuts = bigger piece)Rule: smaller denominator = bigger piece!Arrange: 1/5, 3/5, 2/5 = 1/5 < 2/5 < 3/5
Solved Examples
1
Worked Example
Which is larger: 5/8 or 3/8?
SolutionSame denominator. Compare numerators: 5 > 3. So 5/8 > 3/8.
2
Worked Example
Which is larger: 1/3 or 1/4?
SolutionSame numerator (1). Smaller denominator = bigger fraction. 3 < 4, so 1/3 > 1/4.
3
Worked Example
Order from smallest to largest: 3/5, 1/5, 4/5.
SolutionSame denominator. Compare numerators: 1 < 3 < 4. Order: 1/5 < 3/5 < 4/5.

Key Points

  • Same bottom number: bigger top = bigger fraction.
  • Same top number: bigger bottom = smaller fraction.
  • On number line: fractions closer to 1 are larger.
Quick Check — 4 MCQs
Tap an option to check your answer0 / 4
Q1.With the same denominator, the bigger fraction has the bigger:
Explanation: Bigger top.
Q2.With the same numerator, the bigger fraction has the ___ denominator.
Explanation: Smaller bottom = bigger pieces.
Q3.Which is greater: $\tfrac12$ or $\tfrac14$?
Explanation: $\tfrac12$.
Q4.Which is greater: $\tfrac35$ or $\tfrac25$?
Explanation: $\tfrac35$.
Practice more MCQs → 📝 Assignment · 35 marks