Answer:
The expression that is obtained on simplifying the given expression is:
\(\dfrac{2x+1}{2x^2}\)
Step-by-step explanation:
We are given a expression in terms of variable x as follows:
\(=\dfrac{\dfrac{x}{4}+\dfrac{1}{8}}{\dfrac{x^2}{4}}\)
Now we have to simplify this expression.
This expression could also be written as:
\(=\dfrac{\dfrac{2x+1}{8}}{\dfrac{x^2}{4}}\)
which is further written as:
\(=\dfrac{(2x+1)\times 4}{x^2\times 8}\\\\\\=\dfrac{2x+1}{2x^2}\)
Hence, the simplified expression is:
\(\dfrac{2x+1}{2x^2}\)
