Question

If 1 is added to numerator a fraction become 1 and it becomes 1/2 if 4 is added to denominator. What is the

fraction ?​

Answer 1

Answer:

Fraction = $\frac{5}{6}$

Step-by-step explanation:

Let numerator be x and denominator be y

So, fraction = x/y

According to condition,

$\frac{x+1}{y} = 1$

$x + 1 = y$

AND

$\frac{x}{y+4} = \frac{1}{2}$

$2x = y + 4$

But y = x + 1 (from above)

Therefore,

$2x = x + 1 + 4$

$2x = x + 5$

$x = 5$

Substituiting x = 5 in y value,

$y = 5 + 1$

$y = 6$

Since x = 5 and y = 6,

Fraction = $\frac{5}{6}$