Using Repeated Addition with Unit Fractions

Use repeated addition to find the product of the factors.
5 x 1/2
Since the denominators are the same, add the numerators. ________

This can be written as a mixed number. _________

1 answer

To find the product of \( 5 \times \frac{1}{2} \) using repeated addition, we can interpret the multiplication as adding \( \frac{1}{2} \) five times.

So, we can express this as:

\[ \frac{1}{2} + \frac{1}{2} + \frac{1}{2} + \frac{1}{2} + \frac{1}{2} \]

Since the denominators are the same, we can add the numerators:

\[ \frac{1 + 1 + 1 + 1 + 1}{2} = \frac{5}{2} \]

This can be written as a mixed number by dividing the numerator by the denominator:

\[ \frac{5}{2} = 2 \frac{1}{2} \]

So, the final answers are:

Since the denominators are the same, add the numerators. \(\frac{5}{2}\)

This can be written as a mixed number. \(2 \frac{1}{2}\)