NumberStudy Notes

Worked Example 2: Decimal to Fraction

Part of FDP Conversions — GCSE Mathematics

This study notes covers Worked Example 2: Decimal 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 8 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 8 of 14

Practice

12 questions

Recall

22 flashcards

Worked Example 2: Decimal to Fraction

Convert 0.35 to a fraction in simplest form

Solution

0.35 has 2 decimal places

= 35/100

Find HCF of 35 and 100 = 5

35÷5 = 7, 100÷5 = 20

Answer: 7/20

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 1: Fraction to Decimal to Percentage Worked Example 3: Percentage to Fraction 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

Halves family

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

FDP Triangle

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

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Worked Example 1: Fraction to Decimal to Percentage

Worked Example 3: Percentage to Fraction