What is a/2+a/3+a/4 ?

The solution to a/2+a/3+a/4 is (13a)/(12)

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simplify a/2+a/3+a/4

simplify

\frac{a}{2} + \frac{a}{3} + \frac{a}{4}

\frac{13 a}{12}

Solution steps

\frac{a}{2} + \frac{a}{3} + \frac{a}{4}

Least Common Multiplier of

2, 3, 4 : 12

Adjust Fractions based on the LCM

= \frac{a \cdot 6}{12} + \frac{a \cdot 4}{12} + \frac{a \cdot 3}{12}

Apply the fraction rule:

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

= \frac{a \cdot 6 + a \cdot 4 + a \cdot 3}{12}

Add similar elements:

a \cdot 6 + a \cdot 4 + a \cdot 3 = 13 a

= \frac{13 a}{12}

(1 + 2 t)^{2}

x^{5} + x^{5}

\frac{2}{3} (- 15)

\frac{2}{3} - \frac{1}{2} + \frac{8}{15}

(x + 2) \cdot (x - 1)