### Edexcel GCSE Maths

Numbers
Algebra
Geometry and Measures
Probability
Statistics

# Fractions

A fraction is a mathematical expression used to represent a part of a whole. They are frequently encountered in daily life, such as when dividing pizza slices or calculating exam scores. For example, if you scored 22 out of 24 on a maths paper, this could be expressed as a fraction.

## Equivalent Fractions

The same fraction can be represented in multiple ways, as long as the proportion between the numerator (top number) and the denominator (bottom number) remains the same. This occurs because you can always factor out a common term from the numerator and denominator and divide by it to obtain an equivalent fraction.

### Example

The fraction , which represents one-half, can also be expressed as , , and an infinite number of other equivalent fractions. This is because is half of , is half of , and so on. In each case, the ratio between the numerator and the denominator remains the same, maintaining the value of the fraction.

To better understand fractions and their applications, remember that the key concept is the proportional relationship between the numerator and the denominator. This will help you simplify, compare, and perform operations with fractions effectively.

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