Reciprocal of a Fraction Calculator

This Reciprocal of a Fraction Calculator helps you find the reciprocal of a fraction and shows the working clearly step by step. To find the reciprocal, swap the numerator and denominator. A reciprocal is the flipped form of the original fraction. It is a simple way to check answers, understand reciprocals, and practise basic arithmetic step by step.

Step-by-step method

1. Set up the problem. Write the fraction.
2. Swap the numbers. Switch the numerator and denominator.

Example 1: \(\frac{3}{4}\)

Step 1 - Set up the problem. Write the fraction.

In this problem: We are finding the reciprocal of \(\frac{3}{4}\).

Step 2 - Swap the numbers. Switch the numerator and denominator.

In this problem: Swap the top and bottom: \(\frac{3}{4}\) becomes \(\frac{4}{3}\).

Final answer: \(\frac{3}{4} \;\rightarrow\; \frac{4}{3}\)

Example 2: \(-\frac{5}{2}\)

Step 1 - Set up the problem. Write the fraction.

In this problem: We are finding the reciprocal of \(-\frac{5}{2}\).

Step 2 - Swap the numbers. Switch the numerator and denominator.

In this problem: Swap the top and bottom: \(-\frac{5}{2}\) becomes \(-\frac{2}{5}\).

Final answer: \(-\frac{5}{2} \;\rightarrow\; -\frac{2}{5}\)