What is 5/(x+9)+5/x ?

The solution to 5/(x+9)+5/x is (10x+45)/(x(x+9))

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simplify 5/(x+9)+5/x

simplify

\frac{5}{x + 9} + \frac{5}{x}

\frac{10 x + 45}{x ( x + 9 )}

Solution steps

\frac{5}{x + 9} + \frac{5}{x}

Least Common Multiplier of

x + 9, x : x (x + 9)

Adjust Fractions based on the LCM

= \frac{5 x}{x ( x + 9 )} + \frac{5 ( x + 9 )}{x ( x + 9 )}

Apply the fraction rule:

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

= \frac{5 x + 5 ( x + 9 )}{x ( x + 9 )}

Simplify

5 x + 5 (x + 9) : 10 x + 45

= \frac{10 x + 45}{x ( x + 9 )}

4 y

- 10 (1 - 9 x) + 6 (x - 10)

\frac{m ^{2} - 9}{9 m - m ^{3}}

- 1 + (- 6)

\frac{\frac{1}{x}}{2}