To add or subtract fractions with
unlike denominators,
first find a
common denominator.
Then, add or subtract the numerators and keep the denominator the same.
 $+$ 
 $=$  $\text{?}$ 
$\frac{1}{2}$  $+$  $\frac{2}{3}$  $=$  $\text{?}$ 
One way to add fractions with unequal denominators is to find a common denominator.
The least common denominator is the least common multiple of 2 and 3, which is 6.
First, find a fraction that is equivalent to
$\frac{1}{2}$ with a denominator of 6.
Since 2 times 3 is 6, multiply
$\frac{1}{2}$ by
$\frac{3}{3}$ to find a fraction equivalent to
$\frac{1}{2}$ with a denominator of 6.
$\frac{1}{2}\times \frac{3}{3}=\frac{3}{6}$
Next, find a fraction that is equivalent to
$\frac{2}{3}$ with a denominator of 6.
Since 3 times 2 is 6, multiply
$\frac{2}{3}$ by
$\frac{2}{2}$ to find a fraction equivalent to
$\frac{2}{3}$ with a denominator of 6.
$\frac{2}{3}\times \frac{2}{2}=\frac{4}{6}$
Then, add the fractions.
$\frac{3}{6}$  $+$  $\frac{4}{6}$  $=$  $\frac{7}{6}$ 
 $+$ 
 $=$ 
