What is 1/(3n)-1/n+3/(2n) ?

The solution to 1/(3n)-1/n+3/(2n) is 5/(6n)

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simplify 1/(3n)-1/n+3/(2n)

simplify

\frac{1}{3 n} - \frac{1}{n} + \frac{3}{2 n}

\frac{5}{6 n}

Solution steps

\frac{1}{3 n} - \frac{1}{n} + \frac{3}{2 n}

Least Common Multiplier of

3 n, n, 2 n : 6 n

Adjust Fractions based on the LCM

= \frac{2}{6 n} - \frac{6}{6 n} + \frac{9}{6 n}

Apply the fraction rule:

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

= \frac{2 - 6 + 9}{6 n}

Add the numbers:

2 - 6 + 9 = 5

= \frac{5}{6 n}

lo g_{7} (2) + 2 lo g_{7} (6) - lo g_{7} (9)

\frac{tan ( x ) + cot ( x )}{sec ( x )}

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

tan (θ) + cot (θ)

\frac{12 a ^{2} b}{3 a b ^{2}}