# What is the reciprocal of 3/5?

#### Understand the Problem

The question is asking for the reciprocal of the fraction 3/5. The reciprocal of a fraction is found by flipping the numerator and the denominator.

The reciprocal of the fraction $\frac{3}{5}$ is $\frac{5}{3}$.

The reciprocal of the fraction $\frac{3}{5}$ is $\frac{5}{3}$.

#### Steps to Solve

1. Identify the original fraction The original fraction given in the problem is $\frac{3}{5}$.

2. Find the reciprocal To find the reciprocal, flip the fraction by switching the numerator and the denominator. Thus, the reciprocal of $\frac{3}{5}$ is $\frac{5}{3}$.

The reciprocal of the fraction $\frac{3}{5}$ is $\frac{5}{3}$.

The reciprocal of a fraction is essential in various mathematical operations, particularly in division. It’s useful to remember that the reciprocal of a number $x$ is $\frac{1}{x}$, and for any fraction $\frac{a}{b}$, its reciprocal is $\frac{b}{a}$.

#### Tips

• Forgetting to switch the numerator and denominator can lead to an incorrect answer. Always remember to flip both parts of the fraction when finding the reciprocal.
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