Simplify (4x^2)/(5y)*(7y)/(12x^4)

$\frac{4 x^{2}}{5 y} \cdot \frac{7 y}{12 x^{4}}$

Step 1

Combine.

$\frac{4 x^{2} (7 y)}{5 y (12 x^{4})}$

Step 2

Cancel the common factor of $4$ and $12$ .

Factor $4$ out of $4 x^{2} (7 y)$ .

$\frac{4 (x^{2} (7 y))}{5 y (12 x^{4})}$

Cancel the common factors.

Factor $4$ out of $5 y (12 x^{4})$ .

$\frac{4 (x^{2} (7 y))}{4 (5 y (3 x^{4}))}$

Cancel the common factor.

$\frac{4 (x^{2} (7 y))}{4 (5 y (3 x^{4}))}$

Rewrite the expression.

$\frac{x^{2} (7 y)}{5 y (3 x^{4})}$

$\frac{x^{2} (7 y)}{5 y (3 x^{4})}$

$\frac{x^{2} (7 y)}{5 y (3 x^{4})}$

Step 3

Cancel the common factors.

Factor $x^{2}$ out of $5 y (3 x^{4})$ .

$\frac{x^{2} (7 y)}{x^{2} (5 y (3 x^{2}))}$

Cancel the common factor.

$\frac{x^{2} (7 y)}{x^{2} (5 y (3 x^{2}))}$

Rewrite the expression.

$\frac{7 y}{5 y (3 x^{2})}$

$\frac{7 y}{5 y (3 x^{2})}$

Step 4

Cancel the common factor of $y$ .

Cancel the common factor.

$\frac{7 y}{5 y (3 x^{2})}$

Rewrite the expression.

$\frac{7}{5 (3 x^{2})}$

$\frac{7}{5 (3 x^{2})}$

Step 5

Multiply $5$ by $3$ .

$\frac{7}{15 x^{2}}$

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