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

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

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simplify x/2+x/3+x/4

simplify

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

\frac{13 x}{12}

Solution steps

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

Least Common Multiplier of

2, 3, 4 : 12

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Add similar elements:

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

= \frac{13 x}{12}

(x - 4)^{7}

(x - 4)^{6}

\frac{11}{16} + \frac{11}{20}

\frac{1}{2} \div 1 \frac{1}{2}

55 \times 5