Question

if x/y×a/b=1, where x/y and a/b are rational numbers then what is the multiplicative inverse of x/y

Answer 1

Step-by-step explanation:

a/b because the multiplication inverse if x/y =ab

Answer 2

Answer:

The multiplicative of $\frac{x}{y}$ is $\frac{a}{b}$

Step-by-step explanation:

CONCEPT:

When a number is additive to x, the sum to the two will be zero. So, here the number additive to x is -x.

As $x+(-x)=0$

When a number is multiplicative inverse to x, the product of the two will be one. So, here the number multiplicative inverse to x is $\frac{1}{x}$.

As  $x.\frac{1}{x} =1$

NOTE TO POINT: Only applicable to rational numbers

SOLUTION:

$\frac{x}{y} .\frac{a}{b} =1$

⇒$\frac{x}{y} =\frac{b}{a}$

To find the multiplicative inverse of  $\frac{x}{y}$ , we have to find out the multiplicative inverse of $\frac{b}{a}$.

Let F be the multiplicative inverse of  $\frac{b}{a}$ , so

$\frac{b}{a}.F=1$

⇒$F=\frac{a}{b}$

As the multiplicative inverse of $\frac{b}{a}$ is $\frac{a}{b}$ , therefore multiplicative inverse of  $\frac{x}{y}$  is also $\frac{a}{b}$ .

To solve more similar types of questions

https://brainly.in/question/4160994

https://brainly.in/textbook-solutions/q-additive-multiplicative-inverse-2-3-5

Thank you.