This study notes covers Worked Example 1: Fraction to Decimal to Percentage 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 7 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 1: Fraction to Decimal to Percentage
Convert 5/8 to a decimal and percentage
Solution
Fraction to decimal: 5 ÷ 8
= 0.625
Decimal to percentage: 0.625 × 100
= 62.5%
5/8 = 0.625 = 62.5%
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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