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
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 14 in this topic. Focus on the labels, the relationships between parts, and the explanation that turns the diagram into an exam-ready answer.
Practice questions for Fractions Basics
In the fraction 5/8, which number is the denominator?
Explain the difference between a proper fraction, an improper fraction and a mixed number. Give one example of each.