What is 1/(2x)+4/(x+12) ?

The solution to 1/(2x)+4/(x+12) is (9x+12)/(2x(x+12))

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simplify 1/(2x)+4/(x+12)

simplify

\frac{1}{2 x} + \frac{4}{x + 12}

\frac{9 x + 12}{2 x ( x + 12 )}

Solution steps

\frac{1}{2 x} + \frac{4}{x + 12}

Least Common Multiplier of

2 x, x + 12 : 2 x (x + 12)

Adjust Fractions based on the LCM

= \frac{x + 12}{2 x ( x + 12 )} + \frac{8 x}{2 x ( x + 12 )}

Apply the fraction rule:

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

= \frac{x + 12 + 8 x}{2 x ( x + 12 )}

Simplify

x + 12 + 8 x : 9 x + 12

= \frac{9 x + 12}{2 x ( x + 12 )}

\frac{5}{4} + \frac{1}{8}

(32)^{2}

(a + 3 b - 2)^{3}

2 x \cdot 0

(6^{3})^{\frac{1}{2}}