Question

When numerator of a fraction is increased by 40% and denominator increased by 80% the resultant fraction becomes
14/27
Find the original fraction ?
​

Answer 1

Step-by-step explanation:

The original fraction is \frac{27}{35}

35

27

Step-by-step explanation:

Let the numerator be x

Let the denominator be y

Fraction = \frac{x}{y}

y

x

Numerator is increased by 40 %

Numerator = x+\frac{40}{100}x= x+0.4x= 1.4xx+

100

40

x=x+0.4x=1.4x

Denominator is increased by 80 %

Denominator = x+\frac{80}{100}y= y+0.8y= 1.8yx+

100

80

y=y+0.8y=1.8y

New fraction = \frac{1.4x}{1.8y}

1.8y

1.4x

We are given that the resultant fraction is 3/5,

So, \frac{1.4x}{1.8y}=\frac{3}{5}

1.8y

1.4x

=

5

3

\frac{14x}{18y}=\frac{3}{5}

18y

14x

=

5

3

\frac{7x}{9y}=\frac{3}{5}

9y

7x

=

5

3

\frac{x}{y}=\frac{27}{35}

y

x

=

35

27