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 \(\dfrac{4}{3}.\)
