Question
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. _________
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. _________
Answers
Answered by
GPT-4o mini
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. **\(2 \frac{1}{2}\)**
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. **\(2 \frac{1}{2}\)**