Math Calculators ▶ Multiplicative Inverse Calculator
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Get to know how you could determine the multiplicative inverse of a number, fraction, or mixed number with the assistance of this free online multiplicative inverse calculator.
Let’s move forward to understand the concept of multiplicative inverse in brief detail.
Let’s move on!
A reciprocal number that when multiplied with the original number, yields 1 is its multiplicative inverse.
This number can be an integer, fraction, or mixed fraction.
Example:
The multiplicative inverse of 5 is 1/5 and that of 6 is 1/6.
You could also find the multiplicative inverse of any number format by subjecting this to this best inverse number
calculator.
There are different ways to calculate the multiplicative inverse of any fraction, number, decimal, and mixed number. Let’s go through these methods together!
The multiplicative inverse of a number is another number that nullifies the impact of the number and makes it identity or 1. You can easily determine the Multiplicative inverse of a number instantly by using the inverse number calculator
If “n” is a number, then its multiplicative inverse is 1/n such that:
n*1/n = 1
The multiplicative inverse of the fraction is another fraction that cancels out the impact of the fraction and the result is “1”. One fast way to determine the multiplicative inverse of a fraction is by the use of the free inverse of a numbers calculator. Let’s move ahead discussing the generic expression:
If “a/b” is a fraction, then its multiplicative inverse is b/a such that:
a/b*b/a=1
Now you could instantly find the multiplicative inverse of a decimal number with this best multiplicative inverse calculator. But having a hands-on grip is also important. To comprehend this, follow the guide given below:
The multiplicative inverse of a decimal is treated in the same way as a fraction. The multiplicative inverse of the decimal fraction of 0.75 is done by converting the number into a fraction as 75/100. The multiplicative inverse solver can be used to find the multiplicative inverse which is 100/75.
To find the multiplicative inverse of a mixed fraction, first convert it into the improper fractions. Then apply the same procedure as for the fraction.
Consider a mixed fraction 5(⅖), we get 27/5 and its Multiplicative inverse is 5/27.
We can use the multiplicative inverse calculator to instantly find the multiplicative inverse of mixed fractions too.
Here we are having a chart that is packed with the most commonly used multiplicative inverses of numbers, fractions, or mixed numbers. Let’s go through it!
Number |
Multiplicative inverse |
9 |
1/9 |
3 |
1/3 |
7 |
1/7 |
8 |
1/8 |
3 4 |
4 3 |
1 2 |
2 1 |
4 |
1/4 |
2 5 |
5 2 |
6 |
1/6 |
2/5 |
5/2 |
1 9 |
9 1 |
1 7 |
7 1 |
2 1/2 |
2/5 |
11 |
1/11 |
10 |
1/10 |
1/4 |
4/1 |
3 4 |
4 3 |
1/7 |
7/1 |
7 9 |
9 7 |
3/4 |
4/3 |
3/5 |
5/3 |
2 5 |
5 2 |
15 |
1/15 |
11 |
1/11 |
You can also verify these values by using this online multiplicative inverse calculator.
Here we will be solving examples to understand the concept of the multiplicative inverse.
Example # 01:
How to find inverse of a number 5?
Solution:
To find the multiplicative inverse of the number 5, we can solve it:
5/1×1/5=1
Our free multiplicative inverse solver also finds the same results but in seconds that saves you a lot of time.
Example # 02:
What is the multiplicative inverse of 1 4?
Solution:
As the given number is a fraction,1 4, we can solve it:
1/4×4/1=1
Here 1 4 means ¼
This free inverse of a number calculator takes a couple of seconds to find the multiplicative inverse of any number format. Let’s find how!
Input:
Output:
The free multiplicative inverse solver determines:
The multiplicative inverse of -17 is 1/-17.
The multiplicative inverse of -2/5 is -5/2.
Zero is a unique integer having no multiplicative inverse. The main reason for that is 0xN=0 and N/0 is undefined. You can say the multiplicative inverse of zero is infinity.
Yes, of course you can. The multiplicative inverse of a matrix is another matrix that produces a resultant matrix, an identity matrix.
The multiplicative inverse is important when solving the variable in the equation and formulas. This property is going to be used to cancel out the effect of the variable. This is why our best multiplicative inverse calculator comes to add you in determining the inverse of any number form accurately.
From the source of Wikipedia: Multiplicative inverse, Complex numbers, Calculus, Algorithms
From the source of khan academy: Inverse property of multiplication, reciprocal of a fraction, rational number