Question

the sum of the numerator and the denominator of a fraction is 16.if 5 is added to its denominator it reduces to 1/2 then that fraction is dash​

Answer 1

Answer:

7/9

Step-by-step explanation:

Let the number be 'a'.

In question, sum of num. and deno. = 16

→ a + deno. = 16

→ denominator = 16 - a.

Thus, fraction is a/(16 - a)

If 5 is added to its denominator: denominator = 16 - a + 5 = 21 - a.

And, fraction = 1/2

→ a/(21 - a) = 1/2

→ 2a = 21 - a. → 2a + a = 21

→ 3a = 21 → a = 7

Hence, 16 - b = 16 - 7 = 9

Fraction is a/(16 - a) = 7/9