Question

2/3 to 3/2 Find the ratio in simplest form.

Answer 1

Answer:

4/9

Step-by-step explanation:

2/3

-------------

3/2

Multiply the top and bottom by 2*3

2/3  * 2*3

-------------

3/2   * 2*3

Cancel

2*2

---------

3*3

4/9

Answer 2

Answer:

$\Large \boxed{\frac{4}{9} }$

Step-by-step explanation:

$\displaystyle \sf \frac{\frac{2}{3} }{\frac{3}{2} }$

Multiplying the numerator and the denominator by $\sf \frac{2}{3}$

$\displaystyle \sf \frac{\frac{2}{3} \cdot \frac{2}{3}}{\frac{3}{2} \cdot \frac{2}{3}}$

$\displaystyle \sf \frac{\frac{4}{9} }{1 } = \frac{4}{9}$