If $$\frac{3x}{2y}=\frac{48}{72}$$​ then $$\frac{x}{y}$$​ then in its lowest term is:

Correct option is A

Given:

​$$\frac{3x}{2y} = \frac{48}{72}$$​

Required: Find $$\frac{x}{y}$$​ in its lowest terms.

Solution:

$$\frac{3x}{2y} =\frac{48}{72} = \frac{48 \div 24}{72 \div 24} = \frac{2}{3}$$​​

​$$3x \times 3 = 2y \times 2$$​

9x = 4y

​$$\frac{x}{y} = \frac{4}{9}$$​