Year 11 Exam > Year 11 Notes > Mathematics for GCSE/IGCSE > Operations with Fractions
Operations with Fractions | Mathematics for GCSE/IGCSE - Year 11 PDF Download
Adding & Subtracting Fractions
Dealing with mixed numbers
- Always convert mixed numbers to improper fractions before adding or subtracting.
Adding & subtracting
- Adding and subtracting are approached similarly:
- Find the smallest whole number that each denominator divides, known as the lowest common denominator.
- Convert each fraction to an equivalent fraction with the lowest common denominator by scaling the numerator and denominator proportionally.
- Add or subtract the numerators and write the result over the single lowest common denominator without changing the denominators.
- Check for any simplifications by canceling out common factors, especially if converting improper fractions to mixed numbers is required.
Multiplying Fractions
Dealing with mixed numbers
- Convert mixed numbers into improper fractions before multiplication.
Multiplying fractions
- Cancel any numbers on the numerators with numbers on the denominators (from either fraction).
- Multiply the numerators.
- Multiply the denominators.
- Cancel any common factors again if possible.
- Convert improper fractions back into mixed numbers (if necessary or requested).
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Dividing Fractions
Dealing with mixed numbers
- Always convert mixed numbers into top-heavy fractions before dividing.
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Dividing fractions
- Instead of dividing fractions, "flip 'n' times" (flip the second fraction and change ÷ into ×).
- Then multiply the fractions (multiply the numerators and denominators).
- Cancel the final answer if possible.
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Apr 21, 2025
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Document Description: Operations with Fractions for Year 11 2025 is part of Mathematics for GCSE/IGCSE preparation.
The notes and questions for Operations with Fractions have been prepared according to the Year 11 exam syllabus. Information about Operations with Fractions covers topics
like Adding & Subtracting Fractions, Multiplying Fractions, Dividing Fractions and Operations with Fractions Example, for Year 11 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Operations with Fractions.
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