What is 5/x+6/(x-5) ?

The solution to 5/x+6/(x-5) is (11x-25)/(x(x-5))

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simplify 5/x+6/(x-5)

simplify

\frac{5}{x} + \frac{6}{x - 5}

\frac{11 x - 25}{x ( x - 5 )}

Solution steps

\frac{5}{x} + \frac{6}{x - 5}

Least Common Multiplier of

x, x - 5 : x (x - 5)

Adjust Fractions based on the LCM

= \frac{5 ( x - 5 )}{x ( x - 5 )} + \frac{6 x}{x ( x - 5 )}

Apply the fraction rule:

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

= \frac{5 ( x - 5 ) + 6 x}{x ( x - 5 )}

Simplify

5 (x - 5) + 6 x : 11 x - 25

= \frac{11 x - 25}{x ( x - 5 )}

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