To calculate the product of \( 5 \times \frac{1}{2} \) using repeated addition, you can express it as:
\[ 5 \times \frac{1}{2} = \frac{1}{2} + \frac{1}{2} + \frac{1}{2} + \frac{1}{2} + \frac{1}{2} \]
Now, since the denominators are the same (which is 2), you can add the numerators:
\[ = \frac{1 + 1 + 1 + 1 + 1}{2} = \frac{5}{2} \]
Next, to write \(\frac{5}{2}\) as a mixed number, you divide the numerator (5) by the denominator (2):
\[ 5 \div 2 = 2 \quad \text{(whole number)} \] \[ \text{Remainder: } 5 - (2 \times 2) = 1 \]
So, you can express \(\frac{5}{2}\) as:
\[ 2 \frac{1}{2} \]
Thus, the product of \( 5 \times \frac{1}{2} = \frac{5}{2} \), which can be written as the mixed number \( 2 \frac{1}{2} \).
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