Question

explanation & answer

Answer 1

Answer:

The answer to this expression is $\frac{13x-6}{6}$, or $\frac{13x}{6} - 1$.

Step-by-step explanation:

The given problem is $\displaystyle \frac{2x}{3}+\frac{(3)x-2}{2}$ .

Let's start by finding common denominators for the fractions so that we can add them. The simplest common denominator is 6; we multiply $\frac{2x}{3}$ by $\frac{2}{2}$ and $\frac{3x-2}{2}$ by $\frac{3}{3}$.

• $\displaystyle \frac{2x}{3} \times \frac{2}{2} =\frac{4x}{6}$
• $\displaystyle \frac{3x-2}{2} \times \frac{3}{3} = \frac{3(3x-2)}{6} = \frac{9x-6}{6}$

Now, since the fractions have common denominators, we can add them together.

• $\displaystyle \frac{4x}{6} + \frac{9x-6}{6} = \frac{13x-6}{6}$

The answer to this expression is $\frac{13x-6}{6}$, or $\frac{13x}{6} - 1$.