Question
Add the following fractions: 1/2 + 3/1
Answers
GPT-4o mini
To add the fractions \( \frac{1}{2} + \frac{3}{1} \), we first need a common denominator. The denominator of the first fraction is 2, and the denominator of the second fraction is 1. The least common multiple of 2 and 1 is 2.
Now, we can convert \( \frac{3}{1} \) to a fraction with a denominator of 2:
\[
\frac{3}{1} = \frac{3 \times 2}{1 \times 2} = \frac{6}{2}
\]
Now we can add the two fractions:
\[
\frac{1}{2} + \frac{6}{2} = \frac{1 + 6}{2} = \frac{7}{2}
\]
Thus, the sum of \( \frac{1}{2} + \frac{3}{1} \) is \( \frac{7}{2} \).
Now, we can convert \( \frac{3}{1} \) to a fraction with a denominator of 2:
\[
\frac{3}{1} = \frac{3 \times 2}{1 \times 2} = \frac{6}{2}
\]
Now we can add the two fractions:
\[
\frac{1}{2} + \frac{6}{2} = \frac{1 + 6}{2} = \frac{7}{2}
\]
Thus, the sum of \( \frac{1}{2} + \frac{3}{1} \) is \( \frac{7}{2} \).