Question

((4)/(x))-((1)/(x+1))=((??)/(x(x+1)))

Answer 1

You have to write it as one fraction.
The new denominator is the product of x and x+1.
To make this happen, multiply both numerator and denominator of the first fraction with x+1.
Then multiply num. and den. of the second fraction with x:
\[\frac{ 4 }{ x }-\frac{ 1 }{ x+1 }=\frac{ 4(x+1) }{ x(x+1) }-\frac{ x }{ x(x+1) }\]Now write as one fraction and simplify.

Answer 2

So the answer would be: \[\frac{ 3x+4 }{ x(x+1) }\]?

Answer 3

Right!