Simplify (8x^2y^2)/(10x^2y^3)

$\frac{8 x^{2} y^{2}}{10 x^{2} y^{3}}$

Step 1

Cancel the common factor of $8$ and $10$ .

Factor $2$ out of $8 x^{2} y^{2}$ .

$\frac{2 (4 x^{2} y^{2})}{10 x^{2} y^{3}}$

Cancel the common factors.

Factor $2$ out of $10 x^{2} y^{3}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 2

Cancel the common factor of $x^{2}$ .

Cancel the common factor.

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

Rewrite the expression.

$\frac{4 y^{2}}{5 y^{3}}$

$\frac{4 y^{2}}{5 y^{3}}$

Step 3

Cancel the common factor of $y^{2}$ and $y^{3}$ .

Factor $y^{2}$ out of $4 y^{2}$ .

$\frac{y^{2} \cdot 4}{5 y^{3}}$

Cancel the common factors.

Factor $y^{2}$ out of $5 y^{3}$ .

$\frac{y^{2} \cdot 4}{y^{2} (5 y)}$

Cancel the common factor.

$\frac{y^{2} \cdot 4}{y^{2} (5 y)}$

Rewrite the expression.

$\frac{4}{5 y}$

$\frac{4}{5 y}$

$\frac{4}{5 y}$

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