What is 4/(x-1)+2/(3x) ?

The solution to 4/(x-1)+2/(3x) is (14x-2)/(3x(x-1))

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simplify 4/(x-1)+2/(3x)

simplify

\frac{4}{x - 1} + \frac{2}{3 x}

\frac{14 x - 2}{3 x ( x - 1 )}

Solution steps

\frac{4}{x - 1} + \frac{2}{3 x}

Least Common Multiplier of

x - 1, 3 x : 3 x (x - 1)

Adjust Fractions based on the LCM

= \frac{12 x}{3 x ( x - 1 )} + \frac{2 ( x - 1 )}{3 x ( x - 1 )}

Apply the fraction rule:

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

= \frac{12 x + 2 ( x - 1 )}{3 x ( x - 1 )}

Simplify

12 x + 2 (x - 1) : 14 x - 2

= \frac{14 x - 2}{3 x ( x - 1 )}

\frac{4 h}{h}

3 x^{2} 12 x

1^{2} + 8^{2}

\frac{33}{4} \div 4 \frac{1}{2}

\frac{2 x ^{2} - 3 x - 5}{x + 1}