To solve \(5 \times \frac{1}{2}\) using repeated addition, you can think of multiplying by a fraction as adding that fraction together multiple times.
So, \(5 \times \frac{1}{2}\) means you add \(\frac{1}{2}\) a total of 5 times:
\[ \frac{1}{2} + \frac{1}{2} + \frac{1}{2} + \frac{1}{2} + \frac{1}{2} \]
Now let's add them together:
- \(\frac{1}{2} + \frac{1}{2} = 1\)
- \(1 + \frac{1}{2} = 1 + \frac{1}{2} = \frac{3}{2}\)
- \(\frac{3}{2} + \frac{1}{2} = \frac{4}{2} = 2\)
- \(2 + \frac{1}{2} = 2 + \frac{1}{2} = \frac{5}{2}\)
So, the total sum is \(\frac{5}{2}\).
Thus, \(5 \times \frac{1}{2} = \frac{5}{2} = 2.5\).