To solve \(5 \times \frac{1}{3}\) using repeated addition, you can interpret this as adding \(\frac{1}{3}\) a total of 5 times.
The addition equation would be:
\[ \frac{1}{3} + \frac{1}{3} + \frac{1}{3} + \frac{1}{3} + \frac{1}{3} \]
Now, let's add these fractions together. Since they all have the same denominator, we can simply add the numerators:
\[ \frac{1 + 1 + 1 + 1 + 1}{3} = \frac{5}{3} \]
So, \(5 \times \frac{1}{3}\) can be expressed as \( \frac{5}{3} \) in simplest form.