The equivalent expression of [tex]1 - \frac{1}{x} \div 2[/tex] is [tex]\frac{2x - 1}{2x}[/tex]
The expression is given as:
1 minus StartFraction 1 Over x EndFraction divided by 2
Rewrite properly as:
[tex]1 - \frac{1}{x} \div 2[/tex]
Express the division as product
[tex]1 - \frac{1}{x} \times \frac 12[/tex]
Evaluate the product
[tex]1 - \frac{1}{2x}[/tex]
Take the LCM
[tex]\frac{2x - 1}{2x}[/tex]
Hence, the equivalent expression of [tex]1 - \frac{1}{x} \div 2[/tex] is [tex]\frac{2x - 1}{2x}[/tex]
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