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NumberStudy Notes

Worked Example 1: Fraction to Decimal to Percentage

Part of FDP Conversions — GCSE Mathematics

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 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 7 of 14

Practice

12 questions

Recall

22 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%

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.

Method: Percentage ConversionsWorked Example 2: Decimal to FractionThree Ways to Show the Same ThingThe 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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Method: Percentage Conversions

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Worked Example 2: Decimal to Fraction