Question

Find the multiplicative inverse of ( $\pi -\frac{22}{7}$)

Answer 1

We know that the multiplicative inverse of a number $x$ is $\frac{1}{x}$, which when multiplied by $x$ yeilds the multiplicative identity $1$ that is

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

Now, since

$(\pi -\frac{22}{7})\times \frac{1}{(\pi -\frac{22}{7})}=1$

Hence, the multiplicative inverse of $\pi -\frac{22}{7}$ is $\frac{1}{\pi -\frac{22}{7}}$.