Question

State True or False

Is $\frac{8}{9}$ the multiplicative inverse of $-1\frac{1}{8}$ ?

• A. 0

Answer 1

The correct option is A 0
$b$ is multiplicative inverse of $a$, if $a\times b=1$

So, if $\frac{8}{9}$ is the multiplicative inverse of $-1\frac{1}{8}$ then
$-1\frac{1}{8}\times \left(\frac{8}{9}\right)$ must be equal to $1$
Now,
$-\frac{9}{8}\times \frac{8}{9}=-1$ which is not $1$
Therefore, $\frac{8}{9}$ is not the multiplicative inverse of $-1\frac{1}{8}$.

Hence, the given statement is false.