NumberDeep Dive

Higher Level: Comparing Without Common Denominators

Part of Fractions Basics — GCSE Mathematics

This deep dive covers Higher Level: Comparing Without Common Denominators 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 11 of 13 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 11 of 13

Practice

12 questions

Recall

22 flashcards

Higher Level: Comparing Without Common Denominators

Cross-multiplication method for comparing fractions:

For a/b vs c/d: Compare a×d with b×c
Example: 3/5 vs 7/12
3×12 = 36 and 5×7 = 35
Since 36 > 35, we know 3/5 > 7/12

This avoids finding the LCM but still gives the correct comparison!

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.

Worked Example 4: Finding a Fraction of an Amount Common Mistakes to Avoid Parts of a Whole What Are Fractions?

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

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Worked Example 4: Finding a Fraction of an Amount

Common Mistakes to Avoid