Question

numerator and denominator of a fraction are in thr ratio of3:5. If 4 is subtracted from the numerator, it reduces to 1/5. find the fraction​

Answer 1

Answer:

Numerator and denominator in the ratio 3:5

Let numerator be 3x and denominator be 5x

So

(3x - 4) / 5x = 1 / 5

CROSS MULTIPLYING BOTH THE SIDES

or 15x - 20 = 5x

or 15x - 5x = 20

or 10x = 20

or x = 20 / 10

or x = 2

The fraction is 3x / 5x = (3 × 2) / (5 × 2) = 6 / 10

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Answer 2

Answer

Let the numerator be 3x.

Let the denominator be 5x.

So, the fraction is

$\sf \dfrac{3x}{5x}$

We are also given that 4 is subtracted from the numerator from the current fraction. The denominator remains same. We are alsi given with an other fraction which will occur when we subtract. That fraction is,

$\sf \dfrac{1}{5}$

We are asked to find the value of current fraction.

According to the question.

$\sf \dashrightarrow \dfrac{3x - 4}{5x} = \dfrac{1}{5}$

Cross multiply the numbers.

$\sf \dashrightarrow 5(3x - 4) = 1(5x)$

$\sf \dashrightarrow 15x - 20 = 5x$

$\sf \dashrightarrow 5x = 15x - 20$

$\sf \dashrightarrow 5x - 15x = -20$

$\sf \dashrightarrow -10x = -20$

$\sf \dashrightarrow x = \dfrac{-20}{-10}$

$\sf \dashrightarrow x = 2$

Now, let's find the fraction.

Numerator of the fraction :

$\sf \dashrightarrow 3x = 3(2)$

$\sf \dashrightarrow Numerator = 6$

Denominator of the fraction :

$\sf \dashrightarrow 5x = 5(2)$

$\sf \dashrightarrow Denominator = 10$

The fraction is 6/10 by simplification we get, 3/5

Hence, the original fraction is 3/5.