To add the fractions \( \frac{3}{4} \) and \( \frac{1}{3} \), we first need to find a common denominator. The least common multiple of 4 and 3 is 12.
Now, we'll convert both fractions to have the denominator of 12:
\[ \frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12} \]
\[ \frac{1}{3} = \frac{1 \times 4}{3 \times 4} = \frac{4}{12} \]
Now we can add the two fractions:
\[ \frac{9}{12} + \frac{4}{12} = \frac{9 + 4}{12} = \frac{13}{12} \]
The improper fraction \( \frac{13}{12} \) can also be expressed as a mixed number:
\[ \frac{13}{12} = 1 \frac{1}{12} \]
To find the decimal equivalent, \( \frac{13}{12} = 1.0833 \ldots \).
So your calculation is correct! \( \frac{3}{4} + \frac{1}{3} = \frac{13}{12} \approx 1.0833 \).