3 3/8 : 3/4 +1/2

To add the fractions \( \frac{3}{4} \) and \( \frac{1}{2} \), we need to find a common denominator. In this case, the common denominator for 4 and 2 is 4. So, we rewrite the fractions with the common denominator:

\( \frac{3}{4} = \frac{3 \times 1}{4 \times 1} = \frac{3}{4} \)

\( \frac{1}{2} = \frac{1 \times 2}{2 \times 2} = \frac{2}{4} \)

Now, we can add them together:

\( \frac{3}{4} + \frac{2}{4} = \frac{3+2}{4} = \frac{5}{4} \)

Next, we convert the mixed number \( 3 \frac{1}{4} \) into an improper fraction:

\( 3 \frac{1}{4} = 3 + \frac{1}{4} = \frac{12}{4} + \frac{1}{4} = \frac{13}{4} \)

Therefore, \( 3 \frac{3}{8} = \frac{27}{8} \), and the final result is:

\( \frac{27}{8} \)