Multiplicative Inverse Calculator – Find the Reciprocal of Any Number

The Multiplicative Inverse Calculator helps you find the reciprocal (or multiplicative inverse) of any number quickly and accurately.

Whether you’re working with a simple fraction, mixed number, or a decimal, this tool provides the inverse in both fractional and decimal form – fully simplified and easy to understand.

What Is the Multiplicative Inverse?

The multiplicative inverse, also known as the reciprocal, is the number you multiply by a given number to get the result 1.

Put simply:

If you multiply a number by its multiplicative inverse, the answer will always be 1.

$$\text{Example:} \quad 4 \times \frac{1}{4} = 1$$

This concept applies to whole numbers, fractions, decimals, and even mixed numbers.

Why Is It Important?

• It’s used to solve equations.

• It helps you divide numbers (division is multiplication by the inverse).

• It appears often in algebra, fractions, and higher-level math.

How to Find the Multiplicative Inverse

Let’s look at how to find the inverse based on the type of number:

🔢 For Whole Numbers & Decimals

Just divide 1 by the number.

Example:

• Inverse of 5 is → 1 ÷ 5 = 0.2

• Inverse of 0.25 is → 1 ÷ 0.25 = 4

💡 Use the calculator to save time with decimal values.

🍰 For Fractions

Just flip the numerator and denominator.

Example:

• Inverse of 3/4 is 4/3

• Inverse of -2/5 is -5/2

Make sure the fraction is not zero — you can’t divide by zero!

🧊 For Mixed Numbers (like 1 1/2)

First, turn the mixed number into an improper fraction.
Then, flip it like a regular fraction.

Steps:

1. Convert 1 1/2 → 3/2

2. Flip it → 2/3

Special Case – Zero

Zero does not have a multiplicative inverse, because:

$$\frac{1}{0}\text{is undefined.}$$

Use the Multiplicative Inverse Calculator

Not sure how to flip a mixed number or decimal?
Use our free calculator to:

• Automatically detect number type

• Convert and simplify

• Show answers in both fraction and decimal form

It’s the easiest way to learn and calculate reciprocals – instantly and accurately!

🎯 How to Use:

1. Choose your input type (Fraction, Decimal, or Mixed Fraction)

2. Enter the values

3. Click “Calculate Multiplicative Inverse”

4. See your result instantly – in both formats!

⚠️ Note: Zero (0) does not have a multiplicative inverse