Multiplying Fractions
Operation that, to each pair [latex]\left( \frac {a}{b}, \frac {c}{d}\right)[/latex] of fractions associates a new fraction [latex]\frac {ac}{bd}[/latex] 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
[latex]\dfrac {3}{11}[/latex] × [latex]\dfrac {5}{7}[/latex] = [latex]\dfrac {3 × 5}{11 × 7}[/latex] = [latex]\dfrac {15}{77}[/latex]