NumberStudy Notes

Worked Example 3: Comparing Fractions

Part of Fractions Basics — GCSE Mathematics

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 13 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 9 of 13

Practice

12 questions

Recall

22 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

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 2: Converting Mixed to Improper Worked Example 4: Finding a Fraction of an Amount 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 2: Converting Mixed to Improper

Worked Example 4: Finding a Fraction of an Amount