Operation under which every pair \(\left( \dfrac{a}{b}, \dfrac{c}{d} \right)\) of fractions, is made to correspond to a new fraction \(\dfrac{ad}{bc}\) called the quotient of these fractions.

Generally, given that an operation is defined on a set of numbers and that fractions are not a set of numbers, it would be more accurate to talk about the division of two rational numbers exprimés en fractional notation.

### Property

To solve this kind of division, we can apply the algorithm represented by this equality

\(\dfrac{a}{b} ÷ \dfrac{c}{d}\space=\space \dfrac{a}{b}×\dfrac{d}{c}\space = \space \dfrac{ad}{bc}\)

### Example

\(\dfrac{3}{15} ÷ \dfrac{3}{5}\space=\space \dfrac{3}{15}×\dfrac{5}{3}\space = \space \dfrac{15}{45} \space = \space \dfrac{1}{3}\)