Question

1. simplify: $\frac{1}{2}x + \frac{1}{3}x$

a. $\frac{5}{6}x$
b. $\frac{2}{3}x$
c. $x$
d. $\frac{1}{5}x$

Explanation:

Step1: Find a common denominator

To add \(\frac{1}{2}x\) and \(\frac{1}{3}x\), the common denominator of 2 and 3 is 6. So we rewrite the fractions: \(\frac{1}{2}x=\frac{3}{6}x\) and \(\frac{1}{3}x = \frac{2}{6}x\).

Step2: Add the fractions

Now add the two fractions: \(\frac{3}{6}x+\frac{2}{6}x=\frac{3 + 2}{6}x=\frac{5}{6}x\).

Answer:

a. \(\frac{5}{6}x\)