Question
Find the reciprocal of 10 3/5
Answers
GPT-4o mini
To find the reciprocal of a mixed number like \(10 \frac{3}{5}\), we first need to convert it to an improper fraction.
1. Convert \(10 \frac{3}{5}\) to an improper fraction:
\[
10 \frac{3}{5} = \frac{10 \times 5 + 3}{5} = \frac{50 + 3}{5} = \frac{53}{5}
\]
2. Now, to find the reciprocal, we flip the fraction:
\[
\text{Reciprocal of } \frac{53}{5} = \frac{5}{53}
\]
Thus, the reciprocal of \(10 \frac{3}{5}\) is \(\frac{5}{53}\).
1. Convert \(10 \frac{3}{5}\) to an improper fraction:
\[
10 \frac{3}{5} = \frac{10 \times 5 + 3}{5} = \frac{50 + 3}{5} = \frac{53}{5}
\]
2. Now, to find the reciprocal, we flip the fraction:
\[
\text{Reciprocal of } \frac{53}{5} = \frac{5}{53}
\]
Thus, the reciprocal of \(10 \frac{3}{5}\) is \(\frac{5}{53}\).