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Popular >

simplify (1/x-1/3)/(x-3)

Solution

simplify

\frac{\frac{1}{x} - \frac{1}{3}}{x - 3}

Solution

- \frac{1}{3 x}

Solution steps

\frac{\frac{1}{x} - \frac{1}{3}}{x - 3}

Join

\frac{1}{x} - \frac{1}{3} : \frac{3 - x}{3 x}

= \frac{\frac{3 - x}{3 x}}{x - 3}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{3 - x}{3 x ( x - 3 )}

Cancel

\frac{3 - x}{3 x ( x - 3 )} : - \frac{1}{3 x}

= - \frac{1}{3 x}

Popular Examples

expand (1-u^2)^3 expand

(1 - u^{2})^{3}

simplify x^{1/3}*x^{1/3}*x^{1/3}simplify

x^{\frac{1}{3}} \cdot x^{\frac{1}{3}} \cdot x^{\frac{1}{3}}

simplify ((7x^4+54x^3-71x^2+77x-117))/((x+9))simplify

\frac{( 7 x ^{4} + 54 x ^{3} - 71 x ^{2} + 77 x - 117 )}{( x + 9 )}

simplify ((3x-3)/(28)}{\frac{x-1)/7}simplify

\frac{\frac{3 x - 3}{28}}{\frac{x - 1}{7}}

expand (x-a)^2-b^2 expand

(x - a)^{2} - b^{2}

Frequently Asked Questions (FAQ)

What is (1/x-1/3)/(x-3) ?
The solution to (1/x-1/3)/(x-3) is -1/(3x)