What is a/(12b)+b/(8a) ?

The solution to a/(12b)+b/(8a) is (2a^2+3b^2)/(24ab)

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simplify a/(12b)+b/(8a)

simplify

\frac{a}{12 b} + \frac{b}{8 a}

\frac{2 a ^{2} + 3 b ^{2}}{24 ab}

Solution steps

\frac{a}{12 b} + \frac{b}{8 a}

Least Common Multiplier of

12 b, 8 a : 24 ab

Adjust Fractions based on the LCM

= \frac{2 a ^{2}}{24 ab} + \frac{3 b ^{2}}{24 ab}

Apply the fraction rule:

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

= \frac{2 a ^{2} + 3 b ^{2}}{24 ab}

2 (m - 3) + 7 < 21

(s^{\frac{3}{2}})^{\frac{4}{7}}

- 2 < x \leq 7

3 x + 12 = \frac{x + 5}{3}

98 + 3 (\frac{6.75 - 6}{27 - 6})