Simplify ((3x)/(5y))((y^2)/(6x))

$(\frac{3 x}{5 y}) (\frac{y^{2}}{6 x})$

Step 1

Simplify terms.

Combine.

$\frac{3 x y^{2}}{5 y (6 x)}$

Cancel the common factor of $3$ and $6$ .

Factor $3$ out of $3 x y^{2}$ .

$\frac{3 (x y^{2})}{5 y (6 x)}$

Cancel the common factors.

Factor $3$ out of $5 y (6 x)$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Cancel the common factor of $x$ .

Cancel the common factor.

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

Rewrite the expression.

$\frac{y^{2}}{5 y \cdot (2)}$

$\frac{y^{2}}{5 y \cdot (2)}$

Cancel the common factor of $y^{2}$ and $y$ .

Factor $y$ out of $y^{2}$ .

$\frac{y \cdot y}{5 y \cdot (2)}$

Cancel the common factors.

Factor $y$ out of $5 y \cdot (2)$ .

$\frac{y \cdot y}{y (5 \cdot (2))}$

Cancel the common factor.

$\frac{y \cdot y}{y (5 \cdot (2))}$

Rewrite the expression.

$\frac{y}{5 \cdot (2)}$

$\frac{y}{5 \cdot (2)}$

$\frac{y}{5 \cdot (2)}$

$\frac{y}{5 \cdot (2)}$

Step 2

Multiply $5$ by $2$ .

$\frac{y}{10}$

Related Questions