Question

Find the fraction whose numerator is 4 less than the denominator. If 1 is subtracted from numerator and 3 is added to the denominator, fraction becomes 1/5. Find the original fraction.​

Answer 1

Answer:

3/7

Step-by-step explanation:

Let the numerator be x.

Denominator = x+4

According to Question,

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

=> (x-1) / (x+7) = 1/5

=> 5 (x-1) = x+7

=> 5x-5 = x+7

=> 5x-x = 7+5

=> 4x = 12

=> x = 3

Hence, numerator = 3

Denominator = 7

Therefore, the original fraction is 3/7.

Answer 2

Answer:

ok

Step-by-step explanation:

let the denominator be x

then, numerator will be x - 4

fraction = x/x - 4

now subtracting 1 from numerator and adding 3 to denominator, when we do this, the new fraction becomes 1/5

x - 1/x-4+3 = 1/5

x - 1/x - 1 = 1/5

Cross multiply

1×(x - 1) = 5×(x - 1)

x - 1 = 5x - 5

-5x + x = -5 + 1

-4x = -4

4x = 4

x = 4/4

x = 1