GCSE Mathematics Revision — Fractions, Decimals & Percentages
Revise Fractions, Decimals & Percentages for GCSE Mathematics with a topic explanation, worked example and common mistakes. Check the board notes for specification differences.
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- Fractions, Decimals & Percentages in GCSE Mathematics: explanation, examples, and practice links on this page.
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What is Fractions, Decimals & Percentages?
Fractions, decimals and percentages are three ways of representing the same value. Converting between them is essential: to convert a fraction to a decimal, divide the numerator by the denominator; to convert a decimal to a percentage, multiply by 100. You need to add, subtract, multiply and divide fractions fluently, including mixed numbers.
Step-by-step explanationWorked examples
Worked example
Calculate 2/3 + 3/4. Find the LCM of 3 and 4 = 12. Convert: 8/12 + 9/12 = 17/12 = 1 5/12.
Practise this topic
Start with low-focus cards for Fractions, Decimals & Percentages, then move into full exam-style practice when you want the heavier session.
Common mistakes
- 1Adding fractions by adding numerators AND denominators (e.g. writing 1/3 + 1/4 = 2/7 instead of finding a common denominator).
- 2Forgetting to flip the second fraction when dividing (keep-change-flip).
- 3Not converting mixed numbers to improper fractions before multiplying or dividing.
- 4Rounding a recurring decimal too early instead of giving an exact fraction.
Fractions, Decimals & Percentages exam questions
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Frequently asked questions
How do I convert a recurring decimal to a fraction?
Let x equal the recurring decimal. Multiply x by 10 (or 100, 1000) to shift the recurring part, then subtract the original equation to eliminate the recurring digits. Solve for x and simplify.
What is the order of operations for fractions?
BIDMAS/BODMAS applies to fractions just like whole numbers. Work out brackets first, then indices, then division/multiplication, then addition/subtraction.