Question

if 4/9×3/7×a/b=15/7 then multiplicative inverse of a/b is ​

Answer 1

Answer:

$\frac{180}{441}$

Step-by-step explanation:

Hope it helps u

Answer 2

Given,

$\[\frac{4}{9} \times \frac{3}{7} \times \frac{a}{b} = \frac{{15}}{7}\]$

Solution,

The multiplicative inverse of a is $\[\frac{1}{a}.\]$

Solve the given equation.

$\[\begin{array}{l} \Rightarrow \frac{4}{9} \times \frac{3}{7} \times \frac{a}{b} = \frac{{15}}{7}\\ \Rightarrow \frac{a}{b} = \frac{{15}}{7} \times \frac{7}{3} \times \frac{9}{4}\\ \Rightarrow \frac{a}{b} = \frac{{45}}{4}\end{array}\]$

Calculate the multiplicative inverse.

$\[\begin{array}{l} \Rightarrow \frac{a}{b} = \frac{{45}}{4}\\ \Rightarrow \frac{b}{a} = \frac{4}{{45}}\end{array}\]$

Hence, the multiplicative inverse is $\[\frac{4}{{45}}.\]$