Question

Multiplicative inverse of 9/5..........

Answer 1

Answer:

$Multiplicative \: inverse \: \\ of \: 9/5 \: is \: 5/9 \:$

Answer 2

Given,

The given fraction is :

$\frac{9}{5}$

To find,

The multiplicative inverse of the given fraction.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Now, product of any number and its multiplicative inverse is always equal to 1.

Let, multiplicative inverse = x

According to the previously mentioned mathematical property of multiplicative inverse :

$\frac{9}{5} \times x = 1$

$9x = 5$

$x = \frac{5}{9}$

(This value of x will be considered as the multiplicative inverse of the given fraction. The product of this multiplicative inverse and its original fraction, produces 1 as the answer, as per the requirement.)

Hence, the multiplicative inverse is ⁵/₉