To calculate \(2.75 + \frac{1}{3}\), you can first convert \(2.75\) to a fraction.
\(2.75\) can be expressed as \(\frac{11}{4}\) since: \[ 2.75 = 2 + 0.75 = 2 + \frac{3}{4} = \frac{8}{4} + \frac{3}{4} = \frac{11}{4} \]
Now, add \(\frac{1}{3}\) to \(\frac{11}{4}\). To do this, we need a common denominator. The least common multiple of \(4\) and \(3\) is \(12\).
Now convert both fractions:
\[ \frac{11}{4} = \frac{11 \times 3}{4 \times 3} = \frac{33}{12} \]
\[ \frac{1}{3} = \frac{1 \times 4}{3 \times 4} = \frac{4}{12} \]
Now we can add them: \[ \frac{33}{12} + \frac{4}{12} = \frac{33 + 4}{12} = \frac{37}{12} \]
So, \(2.75 + \frac{1}{3} = \frac{37}{12}\) or approximately \(3.0833\) when expressed as a decimal.