-6/11 or 6/11 Answer

Step-by-step explanation:

Let denominator = x

So, numerator = 2 - 2x

In the question , if they are increase by 1 then the , denominator = x + 1

numerator = 2 - 2x + 1

(2 - 2x + 1) / x + 1 = 4 /5

= (3 - 2x) / + 1 = 4/5 [ in 2 - 2x + 1 , 2 + 1 = 3.]

= 5(3 - 2x) = 4(x + 1) [cross - MULTIPLICATION between (3 - 2x) / x + 1 & 4/5.]

= 15 - 10x = 4x + 4

= -10 x - 4x = + 4 - 15 [ +4 x moves yo LHS and becomes -4 x , likewise, +15 moves to RHS and becomes -15. Because x terms cannot be subtracted by non - x terms. ]

= -14 x = -11

Therefore x = -11/-14.

So, now we will substitute the ANSWERS.,

denominator = 11/14 and,

numerator = 2 - 2 x 11/14

= 2 - 11/7 [ we divided 14 by 2 which is EQUAL to 7.]

Now, numerator = 3/7

3/7÷11/14 [ as numerator = 3/7 and 11/14 = denominator.]

It can also be written as (3/7)/(11/14).

3/7 x 14/11 [ as we know that in multiplication of rational numbers the second number is reversed .]

= 3/1 x 2/11 = 6/11

THEREFORE , THE NUMBER IS 6/11.

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