Simplify fraction: Simplify the fraction by canceling common factors. We can simplify the fraction by dividing both the numerator and the denominator by the greatest common factor. In this case, both the numerator and the denominator have a common factor of 4x.Divide by common factor: Divide the numerator and the denominator by 4x. (12xy)/(40x^2) = (12/40)*(xy/x^2) = (3/10)*(y/x)Further simplification: Simplify the expression further. Since x/x is 1, we can simplify the expression to: (3/10)*yCheck for more simplifications: Check for any additional simplifications. There are no more common factors to cancel out, and the expression is in its simplest form.

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a) $\frac{12 x y}{40 x^{2}}$

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Algebra 2

Sin, cos, and tan of special angles

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Q. a)

\frac{12 x y}{40 x^{2}}

Simplify fraction: Simplify the fraction by canceling common factors. $\newline$ We can simplify the fraction by dividing both the numerator and the denominator by the greatest common factor. In this case, both the numerator and the denominator have a common factor of $4x$ .
Divide by common factor: Divide the numerator and the denominator by $4x$ . $\$(12xy)/(40x^2) = (12/40)\cdot(xy/x^2) = (3/10)\cdot(y/x)$
Further simplification: Simplify the expression further. $\newline$ Since $x/x$ is $1$ , we can simplify the expression to: $\newline$ $(3/10)\cdot y$
Check for more simplifications: Check for any additional simplifications. $\newline$ There are no more common factors to cancel out, and the expression is in its simplest form.