# Multiplying Fractions

## Multiplying Fractions

Operation that, to each pair $$\left( \frac {a}{b}, \frac {c}{d}\right)$$ of fractions associates a new fraction $$\frac {ac}{bd}$$ called the product of these fractions.

• The multiplication of fractions is not an operation on numbers, but an operation on expressions that represent relationships between numbers. Fractions do not form a set of numbers, so it is makes more sense to talk about the multiplication of two rational numbers expressed in fractional notation.
• The product of two fractions is obtained by separately multiplying the numerators and the denominators of the two fractions.

### Example

$$\dfrac {3}{11}$$ × $$\dfrac {5}{7}$$ = $$\dfrac {3 × 5}{11 × 7}$$ = $$\dfrac {15}{77}$$