To solve \(2.3 + \frac{1}{4}\), we can convert \(2.3\) into a fraction for easier addition.
First, convert \(2.3\) into a fraction: \[ 2.3 = \frac{23}{10} \]
Next, convert \(\frac{1}{4}\) to have a common denominator with \(\frac{23}{10}\). The least common multiple of 10 and 4 is 20.
Convert \(\frac{23}{10}\) to have a denominator of 20: \[ \frac{23}{10} \times \frac{2}{2} = \frac{46}{20} \]
Convert \(\frac{1}{4}\) to have a denominator of 20: \[ \frac{1}{4} \times \frac{5}{5} = \frac{5}{20} \]
Now, add the two fractions: \[ \frac{46}{20} + \frac{5}{20} = \frac{46 + 5}{20} = \frac{51}{20} \]
Now, convert \(\frac{51}{20}\) back to a mixed number (if needed): \[ \frac{51}{20} = 2 \frac{11}{20} \]
Thus, the result of \(2.3 + \frac{1}{4}\) is: \[ \frac{51}{20} \text{ or } 2.55 \text{ or } 2 \frac{11}{20} \]
You can choose the form that's most useful for you!