To add the fractions \( \frac{2}{5} \) and \( \frac{78}{3} \), we first need to convert \( \frac{78}{3} \) to a simpler form.
Calculating \( \frac{78}{3} \): \[ \frac{78}{3} = 26 \]
Now we can add \( \frac{2}{5} \) and 26 together. To add a fraction to a whole number, it's helpful to express the whole number as a fraction with the same denominator.
Expressing 26 as a fraction with the denominator of 5: \[ 26 = \frac{26 \times 5}{5} = \frac{130}{5} \]
Now we can add the two fractions: \[ \frac{2}{5} + \frac{130}{5} = \frac{2 + 130}{5} = \frac{132}{5} \]
So, the result of \( \frac{2}{5} + \frac{78}{3} \) is: \[ \frac{132}{5} \quad \text{or} \quad 26.4 \]