Question

Which expression is equivalent to the following complex fraction?

Answer 1

Answer:

A) $(\frac{x - 1}{2x})$ is equivalent fraction.

Step-by-step explanation:

Given : $\frac{1-\frac{1}{x}}{2}$.

To find : Which expression is equivalent to the following complex fraction.

Solution : We have given that $\frac{1-\frac{1}{x}}{2}$.

Rewrite the equation  $\frac{1-\frac{1}{x}}{2}$= $(1 - \frac{1}{x} )*\frac{1}{2}$.

Taking x as LCD in numerator

$\frac{1-\frac{1}{x}}{2}$ = $(\frac{x - 1}{x})*\frac{1}{2}$

On multiplying denominator x and 2

$\frac{1-\frac{1}{x}}{2}$ = $(\frac{x - 1}{2x})$.

Therefore, A) $(\frac{x - 1}{2x})$ is equivalent fraction.

Answer 2

Answer: The correct option is A.

Explanation:

The given expression,

$\frac{1-\frac{1}{x}} {2}$

First we have to simplify the numerator terms.

$\frac{1-\frac{1}{x}} {2}=(1-\frac{1}{x})\times\frac{1}{2}$

Take x as LCD in numerator.

$\frac{1-\frac{1}{x}} {2}=(\frac{x-1}{x})\times\frac{1}{2}$

It can be written as,

$\frac{1-\frac{1}{x}} {2}=\frac{x-1}{2x}$

Therefore the given complex fraction can be expressed as $\frac{x-1}{2x}$

This expression is same as the expression written in option A. So, the option A is correct.