NumberStudy Notes

Worked Example 4: Finding a Fraction of an Amount

Part of Fractions Basics — GCSE Mathematics

This study notes covers Worked Example 4: Finding a Fraction of an Amount 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 10 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 10 of 13

Practice

12 questions

Recall

22 flashcards

Worked Example 4: Finding a Fraction of an Amount

Find 3/4 of 84

Solution

Method: Divide by denominator, multiply by numerator

84 ÷ 4 = 21

21 × 3 = 63

Answer: 63

Alternative: 3/4 × 84 = (3×84)/4 = 252/4 = 63

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 3: Comparing Fractions Higher Level: Comparing Without Common Denominators 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

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'

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Worked Example 3: Comparing Fractions

Higher Level: Comparing Without Common Denominators