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प्रश्न
Simplify and reduce to a simple fraction:
`4/5 div 7/15 "of" 8/9`
उत्तर
`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`
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