Question

next round! follow the three clues to find a hidden treasure. write each answer as a mixed number. clue 2: start at $3\frac{2}{5}$ and add $\frac{2}{5}$. $3\frac{2}{5}+\frac{2}{5}= \frac{?}{?}$

Explanation:

Step1: Add the fractional parts

To add the mixed number \( 3\frac{2}{5} \) and the fraction \( \frac{2}{5} \), we first add the fractional parts. The fractional part of \( 3\frac{2}{5} \) is \( \frac{2}{5} \), so we add \( \frac{2}{5} + \frac{2}{5} \).
\( \frac{2}{5} + \frac{2}{5} = \frac{4}{5} \)

Step2: Keep the whole number part

The whole number part of \( 3\frac{2}{5} \) is 3, and since the sum of the fractional parts does not result in a whole number (i.e., \( \frac{4}{5} < 1 \)), we keep the whole number part as 3.
So, combining the whole number and the new fractional part, we get \( 3\frac{4}{5} \).

Answer:

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