Perform the indicated operation. Simplify the result, if possible.

11 - \frac{5}{4x-5}

would you multiply the denominator to both sides and get the answer?

11 - 5/(4x-5)

There is no "both sides" -- it's a simple expression.

Suppose you had 3 - 2/5
You put it all over the denominator: (3*5-2)/5

Same here: (11(4x-5)-5)/(4x-5) = (44x-60)/(4x-5)

To perform the indicated operation and simplify the result, you need to follow the order of operations. In this case, you have a subtraction operation followed by a division operation.

To simplify the expression, you can start by distributing the negative sign to the fraction. This means that the operation becomes subtraction for both the numerator and the denominator:

11 - \frac{5}{4x-5} = 11 - \frac{5}{4x} + \frac{5}{5}

Now, look at the denominator of the fraction, which is 4x-5. The expression cannot be simplified further, so it remains the same.

Put it all together:

11 - \frac{5}{4x-5}= 11 - \frac{5}{4x} + \frac{5}{5}

The expression is now simplified to the form where you have a whole number subtracted by a fraction with a binomial denominator.