If a certain number is added to the numerator and denominator of 1113 , the result is 1011 . Find the number

I don't see any fractions

If you meant

(11+x)/(13+x) = 10/11

then x=9

To solve this problem, we need to set up an equation based on the given information.

Let's assume the number we are looking for is "x". According to the problem, if "x" is added to both the numerator and denominator of the fraction 1113, the resulting fraction is 1011.

So, we can set up the equation:

(1113 + x) / (1113 + x) = 1011

To solve this equation, we can cross-multiply:

1011 * (1113 + x) = 1113 + x

Now, we can simplify this equation by distributing 1011:

1113 * 1011 + 1011 * x = 1113 + x

Now, we can combine like terms:

1,125,243 + 1011x = 1113 + x

Next, we can isolate the x term on one side of the equation:

1011x - x = 1113 - 1,125,243

Simplifying further:

1010x = -1,123,130

Finally, we can solve for x by dividing both sides of the equation by 1010:

x = -1,123,130 / 1010

Therefore, the value of "x" is -1110.14 (rounded to two decimal places).

So, if -1110.14 is added to both the numerator and denominator of the fraction 1113, the resulting fraction is 1011.