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Preform the indicated operations and simplify the result. Leave the numerator and denominar in the result in factored form.

Preform The Indicated Operations And Simplify The Result Leave The Numerator And Denominar In The Result In Factored Form class=

Sagot :

Given the following expression:

[tex]\frac{1-\frac{1}{x}}{3+\frac{1}{x}}[/tex]

We will simplify the given expression as follows:

Multiply both the numerator and the denominator by x to eliminate the denominators of each part

[tex]\frac{1-\frac{1}{x}}{3+\frac{1}{x}}=\frac{x(1-\frac{1}{x})}{x(3+\frac{1}{x})}=\frac{x-x*\frac{1}{x}}{3x+x*\frac{1}{x}}=\frac{x-1}{3x+1}[/tex]

So, the answer will be:

[tex]\frac{x-1}{3x+1}[/tex]

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