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Multiplying/Dividing with Fractions

Multiplication → multiply numerator, multiply denominator                                             *reduce when possible

\frac{2}{3}\times\frac{4}{15}=\frac{2\times4}{3\times15}=\frac{8}{45}

 

Division → flip second fraction and multiply

\frac{3}{5}\div\frac{9}{4}=\frac{3}{5}\times\frac{4}{9}=\frac{3\times4}{5\times9}=\frac{12}{45}=\frac{12\div3}{45\div3}=\frac{4}{15}