Question

what is the multiplicative inverse of 3/4 ? what is the multiplicative inverse of 3/4 ? @Mathematics

Answer 1

n - the number

the multiplicative inverse: 1/n

n = 3/4

the multiplicative inverse of 3/4 is 4/3.

Answer 2

Answer:  The required multiplicative inverse is $\dfrac{4}{3}.$

Step-by-step explanation:  We are given to find the multiplicative inverse of $\dfrac{3}{4}.$

We know that

b is said to be the multiplicative inverse of another number a if the following condition is satisfied :

$a\times b = 1.$

Here, in the given situation, we have

$a=\dfrac{3}{4}.$

So, its multiplicative inverse is b is

$a\times b=1\\\\\Rightarrow \dfrac{3}{4}\times b=1\\\\\\\Rightarrow b=\dfrac{1}{\frac{3}{4}}\\\\\\\Rightarrow b=\dfrac{4}{3}.$

Thus, the required multiplicative inverse is $\dfrac{4}{3}.$