The reciprocal of a number is found by flipping the numerator and denominator of its fraction form.

First, convert the mixed number \( 3 \frac{1}{5} \) to an improper fraction:

\[
3 \frac{1}{5} = \frac{(3 \times 5) + 1}{5} = \frac{15 + 1}{5} = \frac{16}{5}
\]

Now, take the reciprocal by flipping the fraction:

\[
\text{Reciprocal of } \frac{16}{5} = \frac{5}{16}
\]

So, the reciprocal of \( 3 \frac{1}{5} \) is \( \frac{5}{16} \).

Would you like more details or have any questions? 

Here are some related questions:
1. How do you find the reciprocal of a negative fraction?
2. What is the reciprocal of 7 3/4?
3. Can you explain how to simplify improper fractions?
4. How do you convert a fraction to a decimal?
5. What is the reciprocal of zero?

**Tip:** The reciprocal of a number \( x \) is \( \frac{1}{x} \), but for zero, the reciprocal is undefined.

Learn how to find the reciprocal of 3 1/5 by converting the mixed number to an improper fraction and then flipping the numerator and denominator. This guide explains the key concepts behind fractions and reciprocals, perfect for Grades 5-7 students.

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