Answer:

86/89

Step-by-step explanation:

Here, we take D as denominator and N as Numerator.

We are given that N is 3 less than D

We'll take D as x, and value of N will be x - 3

D = x

N = x - 3

Original Fraction: x - 3 / x

Then, 2 is added to both N and D resulting in one more fraction

D2 = x + 2

N2 = x - 3 + 2

So, new fraction: x - 3 + 2 / x + 2 => x - 1 / x + 2

Sum of two fractions:

x - 3 + x - 1 / x + x + 2 => 2x - 4 / 2x + 2 => 2 ( x - 2 ) / 2 ( x + 1 ) => x - 2 / x + 1

We are also given that sum of fractions is equal to 29 / 30

So, here we get an equation

x - 2 / x + 1 = 29 / 30

By Cross Multiply

( x - 2 ) * 30 = ( x + 1 ) * 29

=> 30x - 60 = 29x + 29

=> 30x - 29x = 29 + 60

=> x = 89

Here we got the value of x, we put it in the original fraction:

x - 3 / x

=> 89 - 3 / 89

=> 86 / 89

Answer:

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