Question

if the numerator of a fraction is increased by 1 50% and the denominator of a fraction is increased by 300% the resultant fraction is 5/18 what is the original fraction options are A 4/9 B 4/5 C 8/ 9 D8/11 E none of these

Answer 1

A) 4/9
250%x/400%y=5/18
x/y=5/18*400*250
x/y= 4/9

Answer 2

Answer:

$\frac{x}{y}=\frac{4}{9}$

Step-by-step explanation:

Let the numerator be x

Let the denominator be y

So, fraction = $\frac{x}{y}$

The numerator of a fraction is increased by 150%

New Numerator = $x+150\%x = x+\frac{150}{100}x=x+1.5x=2.5x$

The denominator of a fraction is increased by 300%

New denominator = $y+300\%y = y+\frac{300}{100}y=y+3y=4y$

So, New fraction = $\frac{2.5x}{4y}$

we are given that the resultant fraction is 5/18

So, $\frac{2.5x}{4y}=\frac{5}{18}$

$\frac{x}{y}=\frac{5 \times 4}{18 \times 2.5}$

$\frac{x}{y}=\frac{4}{9}$

So, Option A is true

Hence the original fraction is $\frac{x}{y}=\frac{4}{9}$