Learn what is the meaning of ** multiplicative inverse in math**? In the lower classes this concept plays a crucial role in mathematics. There is an other name for multiplicative inverse, that is, it is also called as reciprocal. Which means we can also call a multiplicative inverse as a reciprocal.

The ** Definition of the multiplicative inverse** as follows: suppose if the product of any two numbers or fractions or decimals is equals to “1” then each is called as

*multiplicative inverse*of the other. Finding the multiplicative inverse for numbers, fractions and decimals are explained in detail with examples. So go through them and learn.

**How do we find the multiplicative inverse for the any given numbers in math?**

Let us consider one number say “*g*” then \frac { 1 }{ g } is called as the multiplicative inverse of “*g*”.

Example:

If the given number is 7 then the *multiplicative inverse* is equal to \frac { 1 }{ 7 } .

The* multiplicative inverse* of the number 54 is \frac { 1 }{ 54 } .

**How do we find the multiplicative inverse for the any given fractions**

Let \frac { m }{ n } be a fraction then \frac { n }{ m } is called as the multiplicative inverse of \frac { m }{ n } .

Example

If \frac { 8 }{ 17 } is a fraction then \frac { 17 }{ 8 } is called as multiplicative inverse of \frac { 8 }{ 17 }

\frac { 316 }{ 17 } is the multiplicative inverse of \frac { 17 }{ 316 }

**The Method to find the Multiplicative inverse for the any given decimals as follows?**

If we want to find multiplicative inverse of a decimal, first the decimal as a fraction (learn how to convert decimals to fractions) then find its ** multiplicative inverse**.

Example:

The decimal 3.2 is written as \frac { 32 }{ 10 } . so the multiplicative inverse of \frac { 32 }{ 10 } is \frac { 10 }{ 32 }

9.47 is written as \frac { 947 }{ 100 } , so multiplicative inverse of \frac { 947 }{ 100 } is \frac { 100 }{ 947 }

**How to find the multiplicative inverse for the given mixed fractions?**

If we need to find the multiplicative inverse of a mixed fraction. Convert mixed fraction as improper fraction (learn how to convert mixed fraction to improper fraction) then find its **multiplicative inverse.**

Example:

2 \frac { 4 }{ 7 } is a mixed fraction. So, covert the given mixed fraction as the improper fraction. In improper fraction, 2 \frac { 4 }{ 7 } is written as \frac { 18 }{ 7 } .

Therefore, the multiplicative inverse of \frac { 18 }{ 7 } is \frac { 7 }{ 18 }

Hope now you have understood how to find **multiplicative inverse** clearly.

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