Answer
$\frac{5}{6}$
Work Step by Step
$\frac{1}{2}$ + $\frac{1}{3}$
The least common multiple of 2 and 3 is 6, so first rewrite the fractions as like fractions with a denominator of 6. This is the least common denominator (LCD) of 2 and 3.
Step 1 $\frac{1}{2}$ = $\frac{}{6}$
Divide 6 by 2, getting 3, multiply numerator and denominator by 3
$\frac{1}{2}$ = $\frac{1 * 3}{2 * 3}$ = $\frac{3}{6}$
$\frac{1}{3}$ = $\frac{}{6}$
Divide 6 by 3, getting 2, multiply numerator and denominator by 2
$\frac{1}{3}$ = $\frac{1 * 2}{3 * 2}$ = $\frac{2}{6}$
Now, add the like fractions $\frac{3}{6}$ and $\frac{2}{6}$
Step 2 : $\frac{3}{6}$ + $\frac{2}{6}$ = $\frac{3 + 2}{6}$ = $\frac{5}{6}$
$\frac{5}{6}$ is in the lowest term
.
