Question

the multiplicative inverse of 2/5*(4/9) is

Answer 1

please mark on branlist

Step-by-step explanation:

so reciprocal is 45/8

Answer 2

The multiplicative inverse of $\frac{2}{5} \times (\frac{4}{9} )$ is equal to $\frac{45}{8}$

Step-by-step Explanation

Given: An expression, $\frac{2}{5} \times (\frac{4}{9} )$

To be found: To find the multiplicative inverse of the given expression.

Solution:

Calculating the given expression, we get

$\frac{2}{5} \times (\frac{4}{9} )=\frac{2 \times 4}{5 \times 9} \\\implies \frac{2}{5} \times (\frac{4}{9} )=\frac{8}{45}$

We know that, the multiplicative inverse of a number means the reciprocal of a number.

So, the multiplicative inverse of the number $\frac{8}{45}$ is equal to $\frac{1}{\frac{8}{45}} =\frac{45}{8}$

Therefore, the multiplicative inverse of the expression, $\frac{2}{5} \times (\frac{4}{9} )$ is $\frac{45}{8}$

#SPJ3