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This lesson covers all the fraction skills required for AQA GCSE Mathematics: simplifying, converting between improper fractions and mixed numbers, and performing all four operations — addition, subtraction, multiplication and division. Fractions appear throughout the GCSE course, so mastering these techniques is essential.
| Term | Definition | Example |
|---|---|---|
| Numerator | The top number of a fraction | In 3/4, the numerator is 3 |
| Denominator | The bottom number of a fraction | In 3/4, the denominator is 4 |
| Proper fraction | Numerator is less than the denominator | 3/4, 2/5 |
| Improper fraction | Numerator is greater than or equal to the denominator | 7/3, 9/4 |
| Mixed number | A whole number plus a proper fraction | 2 and 1/3, 4 and 3/4 |
| Equivalent fractions | Fractions that represent the same value | 1/2 = 2/4 = 3/6 |
To simplify (or cancel) a fraction, divide the numerator and denominator by their highest common factor (HCF).
Simplify 24/36.
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