Answer:
Option 3 - [tex]\frac{4}{9}[/tex]
Step-by-step explanation:
Given : Expression [tex]\frac{2}{3}[/tex] to [tex]\frac{3}{2}[/tex]
To find : The ratio in the simplest form?
Solution :
According to question,
The ratio is
[tex]\frac{2}{3}:\frac{3}{2}[/tex]
The ratio is written as fraction
[tex]=\frac{\frac{2}{3}}{\frac{3}{2}}[/tex]
[tex]=\frac{2}{3}\times \frac{2}{3}[/tex]
[tex]=\frac{2\times 2}{3\times 3}[/tex]
[tex]=\frac{4}{9}[/tex]
Therefore, The simplest form of the expression is [tex]\frac{4}{9}[/tex]
So, Option 3 is correct.
