The expression is equivalent to the following complex fraction [tex]$\frac{1-\frac{1}{x}}{2}$[/tex] is [tex]\frac{x-1}{2 x}[/tex]
The given expression,
[tex]$\frac{1-\frac{1}{x}}{2}$First we have to simplify the numerator terms.$\frac{1-\frac{1}{x}}{2}=\left(1-\frac{1}{x}\right) \times \frac{1}{2}$Take $x$ as LCD in numerator.$\frac{1-\frac{1}{x}}{2}=\left(\frac{x-1}{x}\right) \times \frac{1}{2}$It can be written as,$\frac{1-\frac{1}{x}}{2}=\frac{x-1}{2 x}$[/tex]
Therefore the given complex fraction can be expressed as x-1/2x
This expression is the same as the expression written in option A. So, option A is correct.
What is a complex fraction?
- A complex fraction is a rational expression that has a fraction in its numerator, denominator, or both.
- There is at least one small fraction within the overall fraction.
To learn more about complex fractions, refer to:
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