Answer:
4/9 or 4:9 or 4 to 9.
Step-by-step explanation:
We need to find the ratio 2/3 to 3/2 in simplest form.
The given ratio can be written in the fraction form as
[tex]\dfrac{2}{3}to\dfrac{3}{2}=\dfrac{\dfrac{2}{3}}{\dfrac{3}{2}}[/tex]
On simplification, we get
[tex]\dfrac{2}{3}to\dfrac{3}{2}=\dfrac{2}{3}\times \frac{2}{3}[/tex]
[tex]\dfrac{2}{3}to\dfrac{3}{2}=\dfrac{4}{9}[/tex]
[tex]\dfrac{2}{3}to\dfrac{3}{2}=\dfrac{4}{9}=4:9=4\text{ to }9[/tex]
Therefore, the required ratio is 4/9 or 4:9 or 4 to 9.
