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
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.
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%
Must know instantly!