Question

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

Answer 1

`\Large \boxed{(4)/(9) }`

Explanation:

`\displaystyle \sf ((2)/(3) )/((3)/(2) )`

Multiplying the numerator and the denominator by
`\sf (2)/(3)`

`\displaystyle \sf ((2)/(3) \cdot (2)/(3))/((3)/(2) \cdot (2)/(3))`

`\displaystyle \sf ((4)/(9) )/(1 ) = (4)/(9)`

Answer 2

4/9

Explanation:

2/3

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3/2

Multiply the top and bottom by 2*3

2/3 * 2*3

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3/2 * 2*3

Cancel

2*2

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3*3

4/9