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 ($\frac14$).

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:

$\frac{10x}{8a}$

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

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.