NumberStudy Notes

Worked Example 3: Percentage to Fraction

Part of FDP Conversions — GCSE Mathematics

This study notes covers Worked Example 3: Percentage to Fraction within FDP Conversions for GCSE Mathematics. Revise FDP Conversions 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 14 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 14

Practice

12 questions

Recall

22 flashcards

Worked Example 3: Percentage to Fraction

Convert 37.5% to a fraction in simplest form

Solution

37.5% = 37.5/100

Remove decimal: 37.5/100 = 375/1000

Simplify by 125: 375÷125 = 3, 1000÷125 = 8

Answer: 3/8

Keep building this topic

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

Worked Example 2: Decimal to Fraction Worked Example 4: Ordering Mixed FDP Three Ways to Show the Same Thing The FDP Triangle

Practice Questions for FDP Conversions

Which decimal is equal to 3/4?

A. 0.34
B. 0.75
C. 0.43
D. 1.33

1 markfoundation

Explain why 1/3 cannot be written as an exact decimal, and write 1/3 using correct notation for recurring decimals.

2 marksstandard

Quick Recall Flashcards

FDP Triangle

F (top) D (left) ← → P (right) F→D: divide F→P: ×100 D→P: ×100

Halves family

1/2 = 0.5 = 50% Must know instantly!

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Worked Example 2: Decimal to Fraction

Worked Example 4: Ordering Mixed FDP