What is 6/(x-4)+5/x ?

The solution to 6/(x-4)+5/x is (11x-20)/(x(x-4))

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simplify 6/(x-4)+5/x

simplify

\frac{6}{x - 4} + \frac{5}{x}

\frac{11 x - 20}{x ( x - 4 )}

Solution steps

\frac{6}{x - 4} + \frac{5}{x}

Least Common Multiplier of

x - 4, x : x (x - 4)

Adjust Fractions based on the LCM

= \frac{6 x}{x ( x - 4 )} + \frac{5 ( x - 4 )}{x ( x - 4 )}

Apply the fraction rule:

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

= \frac{6 x + 5 ( x - 4 )}{x ( x - 4 )}

Simplify

6 x + 5 (x - 4) : 11 x - 20

= \frac{11 x - 20}{x ( x - 4 )}

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