Reciprocal of a Fraction Calculator
Ever needed to find the reciprocal of a fraction in a snap?
Use this quick and easy Reciprocal of a Fraction Calculator to get your answer instantly!
Reciprocal Calculator
Table of Contents
What is the Reciprocal of a Fraction?
The reciprocal of a fraction is just the fraction flipped — the numerator becomes the denominator and the denominator becomes the numerator.
For example:
- The reciprocal of $\frac{2}{3}$ is $\frac{3}{2}$.
- The reciprocal of $\frac{5}{7}$ is $\frac{7}{5}$.
In simple words: Swap the top and bottom numbers.
And if you multiply a number by its reciprocal? You always get 1.
$\frac{2}{3} \times \frac{3}{2} = 1$ — pretty neat, right?
How to Use the Calculator
Using this calculator is super simple:
- Enter the fraction you want to find the reciprocal of.
- Click the Calculate button.
- Instantly see the reciprocal displayed.
No messy hand calculations. No confusion. Just quick answers.
Why Find the Reciprocal?
You’ll often need reciprocals when:
- Dividing fractions (you multiply by the reciprocal).
- Solving equations in math and physics.
- Converting rates, like speed or density.
- Working with proportions and ratios.
In short — if you deal with fractions, you will run into reciprocals.
Example Calculations
| Original Fraction | Reciprocal |
|---|---|
| $\frac{4}{5}$ | $\frac{5}{4}$ |
| $\frac{7}{9}$ | $\frac{9}{7}$ |
| $\frac{2}{11}$ | $\frac{11}{2}$ |
| $\frac{3}{8}$ | $\frac{8}{3}$ |
Even whole numbers have reciprocals!
For example, the reciprocal of 5 is $\frac{1}{5}$.
FAQ
No problem!
Every whole number $n$ is like $\frac{n}{1}$.
So the reciprocal of 5 is $\frac{1}{5}$.
Yes!
If the fraction is negative, the reciprocal is negative too.
Example: The reciprocal of $-\frac{2}{3}$ is $-\frac{3}{2}$.
Important:
Zero does not have a reciprocal.
Since you can’t divide by zero, a reciprocal for 0 doesn’t exist.
Final Thoughts
Reciprocals are small but mighty tools.
Whether you’re solving complex equations or doing simple homework, flipping a fraction the right way can save you a lot of trouble.
Use this calculator anytime you need quick and accurate answers!