Question
Add the following fractions: 1/2 + 3/16
Answers
GPT-4o mini
To add the fractions \( \frac{1}{2} + \frac{3}{16} \), we first need to find a common denominator. The denominators here are 2 and 16. The least common denominator (LCD) is 16.
Next, we convert \( \frac{1}{2} \) to a fraction with a denominator of 16:
\[
\frac{1}{2} = \frac{1 \times 8}{2 \times 8} = \frac{8}{16}
\]
Now we can add the two fractions:
\[
\frac{8}{16} + \frac{3}{16} = \frac{8 + 3}{16} = \frac{11}{16}
\]
Thus, the sum of \( \frac{1}{2} + \frac{3}{16} \) is \( \frac{11}{16} \).
Next, we convert \( \frac{1}{2} \) to a fraction with a denominator of 16:
\[
\frac{1}{2} = \frac{1 \times 8}{2 \times 8} = \frac{8}{16}
\]
Now we can add the two fractions:
\[
\frac{8}{16} + \frac{3}{16} = \frac{8 + 3}{16} = \frac{11}{16}
\]
Thus, the sum of \( \frac{1}{2} + \frac{3}{16} \) is \( \frac{11}{16} \).