Question

Find the sum of the multiplicative inverses of $\frac{1}{32},-\frac{1}{43}$ and $\frac{1}{100}$. Also find the additive inverse of the sum obtained.

Answer 1

The multiplicative inverse of $\frac{1}{32}$ is $32$
The multiplicative inverse of $-\frac{1}{43}$ is $-43.$
The multiplicative inverse of $\frac{1}{100}$ is $100.$

The sum of the multiplicative inverse of $\frac{1}{32},-\frac{1}{43}$ and $\frac{1}{100}$
$=32-43+100$
$=89$

Now, the additive inverse of 89 is $-89.$