The simplified expression is as follows:
[tex]\frac{3x^{2}y^{3} }{12x^{6} y} = \frac{y^{2} }{4x^{4} }[/tex]
How to simplify an expression?
To simplify an expression means to write an equivalent expression which contains no similar terms.
In other words, simplifying expressions mean rewriting the same algebraic expression with no like terms and in a compact manner.
Therefore, the expression can be simplified as follows;
[tex]\frac{3x^{2}y^{3} }{12x^{6} y}[/tex]
[tex]\frac{3x^{2}y^{3} }{12x^{6} y} = \frac{3Xx^{2}Xy^{3} }{12Xx^{6} Xy}[/tex]
Hence,
[tex]\frac{3x^{2}y^{3} }{12x^{6} y} = \frac{3Xx^{2}Xy^{3} }{12Xx^{6} Xy} = \frac{y^{2} }{4x^{4} }[/tex]
Therefore,
[tex]\frac{3x^{2}y^{3} }{12x^{6} y} = \frac{y^{2} }{4x^{4} }[/tex]
learn more on simplification here: https://brainly.com/question/9573048
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