Fractions, Decimals & Percentages — GCSE Mathematics Revision
Revise Fractions, Decimals & Percentages for GCSE Mathematics. Step-by-step explanation, worked examples, common mistakes and exam-style practice aligned to AQA, Edexcel and OCR.
At a glance
- What StudyVector is
- An exam-practice platform with board-aligned questions, explanations, and adaptive next steps.
- This topic
- Fractions, Decimals & Percentages in GCSE Mathematics: explanation, examples, and practice links on this page.
- Who it’s for
- Students revising GCSE Mathematics for UK exams.
- Exam boards
- Practice is aligned to major specifications (AQA, Edexcel, OCR, WJEC, Eduqas, Cambridge International (CIE), SQA, IB, AP).
- Free plan
- Sign up free to use tutor paths and full feedback on your answers. Pricing
- What makes it different
- Syllabus-shaped practice and progress tracking—not generic AI answers.
Topic has curated content entry with explanation, mistakes, and worked example. [auto-gate:promote; score=72.25]
Next in this topic area
Next step: Percentages: Increase & Decrease
Continue in the same course — structured practice and explanations on StudyVector.
Go to Percentages: Increase & DecreaseWhat 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 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
Jump into adaptive, exam-style questions for Fractions, Decimals & Percentages. Free to start; sign in to save progress.
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
Exam-style questions for Fractions, Decimals & Percentages with mark-scheme style solutions and timing practice. Aligned to AQA, Edexcel and OCR specifications.
Fractions, Decimals & Percentages exam questionsGet help with Fractions, Decimals & Percentages
Get a personalised explanation for Fractions, Decimals & Percentages from the StudyVector tutor. Ask follow-up questions and work through problems with step-by-step support.
Open tutorFree full access to Fractions, Decimals & Percentages
Sign up in 30 seconds to unlock step-by-step explanations, exam-style practice, instant feedback and on-demand coaching — completely free, no card required.
Try a practice question
Unlock Fractions, Decimals & Percentages practice questions
Get instant feedback, step-by-step help and exam-style practice — free, no card needed.
Start Free — No Card NeededAlready have an account? Log in
Step-by-step method
Step-by-step explanation
4 steps · Worked method for Fractions, Decimals & Percentages
Core concept
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…
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.