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How do you simplify $\frac{36 x^{2} y}{12 x^{3}}$ $(36x^2y)/(12x^3)$ ?

1 Answer

Sep 28, 2015

$\frac{36 x^{2} y}{12 x^{3}} = 3 \frac{y}{x}$ $(36x^2y)/(12x^3) = 3y/x$

Explanation:

$\frac{36 x^{2} y}{12 x^{2}}$ $(36x^2y)/(12x^2)$
$XXX = \frac{36}{12} \cdot \frac{x^{2}}{x^{3}} \cdot \frac{y}{1}$ $color(white)("XXX")= 36/12*x^2/x^3*y/1$

$XXXXXXXXXX$ $color(white)("XXXXXXXXXX")$ and since
$XXXXXXXXXXXX \frac{36}{12} = 3$ $color(white)("XXXXXXXXXXXX")36/12 = 3$ and

$XXXXXXXXXXXX \frac{x^{2}}{x^{3}} = \frac{1}{x}$ $color(white)("XXXXXXXXXXXX")(x^2)/(x^3) = 1/x$

$XXX = 3 \cdot \frac{1}{x} \cdot \frac{y}{1}$ $color(white)("XXX")=3*1/x*y/1$

$XXX = 3 \frac{y}{x}$ $color(white)("XXX")=3y/x$

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