Math Fractions Fractions and algebraic fractions

# Fractions and algebraic fractions

## Fractions

Fractions are another spelling for quotient. The fraction line replaces the divided sign:

$1:4=\frac{1}{4}$

Example: A cake is divided into four equal pieces. Then, each part corresponds to a quarter ($\frac14$).

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### Remember

Above the fraction line of a fraction, there is the numerator. Below the fraction line, there is the denominator.

$\frac{\text{numerator}}{\text{denominator}}$

### Examples

Examples of fractions:

• $\frac18$

• $\frac{64}{130}$

## Algebraic fractions

Algebraic fraction is the name given to fractions that have at least one variable in the denominator. All fraction rules apply to both fractions and algebraic fractions.

### Examples

Examples of algebraic fractions:

• $\frac{10x}{8a}$

• $\frac{x^2+xy}{25x-13y}$
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### Remember

• If the numerator of a fraction/algebraic fraction is 0, then it has a value of zero.
• The denominator of a fraction/algebraic fraction cannot be 0 because a division by zero is not defined.