Question

Is $0.3$ the multiplicative inverse of $3\frac{1}{3}$? Why (or) why not?

Answer 1

We know that, product of a number with its multiplication inverse is $1$.

To verify whether $0.3$ is the multiplicative inverse of $3\frac{1}{3}$ or not. Lets find their product.

$=0.3\times$$3\frac{1}{3}$
$=0.3\times \frac{10}{3}$
$=\frac{3}{10}\times \frac{10}{3}$
$=\frac{30}{30}=1$

Here, the product is $1$.

Hence, $0.3$ is the multiplicative inverse of $3\frac{1}{3}$.