What is 8/(9x)+2/(x-3) ?

The solution to 8/(9x)+2/(x-3) is (26x-24)/(9x(x-3))

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simplify 8/(9x)+2/(x-3)

simplify

\frac{8}{9 x} + \frac{2}{x - 3}

\frac{26 x - 24}{9 x ( x - 3 )}

Solution steps

\frac{8}{9 x} + \frac{2}{x - 3}

Least Common Multiplier of

9 x, x - 3 : 9 x (x - 3)

Adjust Fractions based on the LCM

= \frac{8 ( x - 3 )}{9 x ( x - 3 )} + \frac{18 x}{9 x ( x - 3 )}

Apply the fraction rule:

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

= \frac{8 ( x - 3 ) + 18 x}{9 x ( x - 3 )}

Simplify

8 (x - 3) + 18 x : 26 x - 24

= \frac{26 x - 24}{9 x ( x - 3 )}

3 x^{3} - 12 x^{4} + 9 x^{5}

1 \times 7

3.14

15 \cdot \frac{3}{42}

\frac{105}{15}