Question

Simplify and reduce to a simple fraction:

`4/5 div 7/15  "of"  8/9`

Answer 1

`4/5 div 7/15  "of"  8/9`

`4/5 div (7/15 xx 8/9)`

Multiply the numerators and denominators

`7/15xx8/9 = (7xx8)/(15xx9) = 56/135`

Division of fractions means multiplying by the reciprocal

`4/5 div 56/135 = 4/5 xx135/56`

Multiply the numerators and denominators

`4/5 xx 135/56 = (4xx135)/(5xx56) = 540/280`

Find the greatest common divisor (GCD) of 540 and 280, which is 20. Divide numerator and denominator by 20:

`540/280 = (540div20)/(280 div20)`

`=27/14`