Using Repeated Addition with Unit Fractions

Question

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. _________

Answer 1

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. $2\frac{1}{2}$