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 15 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and 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
Practice questions for FDP Conversions
Which decimal is equal to 3/4?
Explain why 1/3 cannot be written as an exact decimal, and write 1/3 using correct notation for recurring decimals.
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%
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