Worked Example 3: Comparing Fractions

Part of Fractions Basics · Section 9 of 14

Study NotesUnit: NumberGCSE

This study notes covers Worked Example 3: Comparing Fractions within Fractions Basics for GCSE Mathematics. Revise Fractions Basics in Number for GCSE Mathematics with 12 exam-style questions and 22 flashcards. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 9 of 14 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Worked Example 3: Comparing Fractions

Which is larger: 3/5 or 7/12?

Solution

Find common denominator: LCM of 5 and 12 = 60

3/5 = 36/60 (multiply by 12)

7/12 = 35/60 (multiply by 5)

36/60 > 35/60

Therefore 3/5 > 7/12

Practice questions for Fractions Basics

In the fraction 5/8, which number is the denominator?

  • A. 5
  • B. 8
  • C. 13 (5 + 8)
  • D. 40 (5 x 8)
1 markfoundation

Explain the difference between a proper fraction, an improper fraction and a mixed number. Give one example of each.

2 markshigher

Quick recall flashcards

Parts of a fraction
Numerator = top number (how many parts) Denominator = bottom number (total parts) Fraction bar = division line 3/4 means '3 out of 4 equal parts'
Visualizing fractions
Pizza model: Whole divided into equal slices Bar model: Rectangle split into equal parts Number line: Fractions between 0 and 1 Always think: Parts out of a whole

12 questions on Fractions Basics — practise free

Instant marking, adaptive difficulty and spaced-repetition flashcards — all aligned to your exam board.

Start revising free →