NumberDiagram

Fraction Conversions

Part of Fractions BasicsGCSE Mathematics

This diagram covers Fraction Conversions 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 6 of 13 in this topic. Focus on the labels, the relationships between parts, and the explanation that turns the diagram into an exam-ready answer.

Topic position

Section 6 of 13

Practice

12 questions

Recall

22 flashcards

Fraction Conversions

Mixed → Improper

2¾ = (2×4 + 3)/4 = 11/4
Multiply whole by denominator, add numerator

Improper → Mixed

11/4 = 11÷4 = 2 remainder 3
So 11/4 = 2¾

Common Equivalents

½ = 2/4 = 3/6 = 4/8
⅓ = 2/6 = 3/9 = 4/12
¼ = 2/8 = 3/12 = 4/16

Keep building this topic

Read this section alongside the surrounding pages in Fractions Basics. That gives you the full topic sequence instead of a single isolated revision point.

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

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
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'

Want to test your knowledge?

PrepWise has 12 exam-style questions and 22 flashcards for Fractions Basics — with adaptive difficulty and instant feedback.

Join Alpha