Question

Which expression is equivalent to the following complex fraction?

Answer 1

The equivalent expression of $1 - \frac{1}{x} \div 2$ is $\frac{2x - 1}{2x}$

How to determine the equivalent expression?

The expression is given as:

1 minus StartFraction 1 Over x EndFraction divided by 2

Rewrite properly as:

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

Express the division as product

$1 - \frac{1}{x} \times \frac 12$

Evaluate the product

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

Take the LCM

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

Hence, the equivalent expression of $1 - \frac{1}{x} \div 2$ is $\frac{2x - 1}{2x}$

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