When numerator of a fraction is increased by 40% and denominator increased by 80% the resultant fraction becomes
14/27
F

1 thought on “When numerator of a fraction is increased by 40% and denominator increased by 80% the resultant fraction becomes<br />14/27<br />F”

1. Answer:

   [tex]\bf Original \ fraction = \frac{126}{189}[/tex]

   Step-by-step explanation:

   Let the numerator=100x

   Denominator=100y

   [tex]So\ fraction\ =\frac xy[/tex]

   Now numerator is increased by 40% ,So numerator=140x

   and denominator is increased by 80%

   So denominator=180y

   [tex]Thus \ New \ Fraction= \frac{140x}{180y}= \frac{7x}{9y}\\\\Given\ that \\\\\frac{7x}{9y}\ =\frac { 14}{27}\\\\\bf \frac xy = \frac { 14\times 9}{27 \times 7}=\frac{126}{189}[/tex]

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