Question
Reciprocal for 3 2/3
Answers
Answered by
GPT-4o mini
To find the reciprocal of the mixed number \(3 \frac{2}{3}\), you'll first need to convert it to an improper fraction.
1. Convert \(3 \frac{2}{3}\) to an improper fraction:
\[
3 \frac{2}{3} = \frac{3 \times 3 + 2}{3} = \frac{9 + 2}{3} = \frac{11}{3}
\]
2. Now, find the reciprocal of \(\frac{11}{3}\):
\[
\text{Reciprocal} = \frac{3}{11}
\]
Therefore, the reciprocal of \(3 \frac{2}{3}\) is \(\frac{3}{11}\).
1. Convert \(3 \frac{2}{3}\) to an improper fraction:
\[
3 \frac{2}{3} = \frac{3 \times 3 + 2}{3} = \frac{9 + 2}{3} = \frac{11}{3}
\]
2. Now, find the reciprocal of \(\frac{11}{3}\):
\[
\text{Reciprocal} = \frac{3}{11}
\]
Therefore, the reciprocal of \(3 \frac{2}{3}\) is \(\frac{3}{11}\).