simplify x/2+(2x)/3

Solution

simplify

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

\frac{7 x}{6}

Solution steps

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

Least Common Multiplier of

2, 3 : 6

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Add similar elements:

x \cdot 3 + 4 x = 7 x

= \frac{7 x}{6}

2 \times \frac{- 1}{2}

2 \times \frac{1}{16}

(2 x + 3) (2 x + 1)

lo g_{6} (- 2)

\frac{9}{2 7 + 1}