Simplify (15y^2(y+3))/(20y^3(y+3))

$\frac{15 y^{2} (y + 3)}{20 y^{3} (y + 3)}$

Cancel the common factor of $15$ and $20$ .

Factor $5$ out of $15 y^{2} (y + 3)$ .

$\frac{5 (3 y^{2} (y + 3))}{20 y^{3} (y + 3)}$

Cancel the common factors.

Factor $5$ out of $20 y^{3} (y + 3)$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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

Factor $y^{2}$ out of $3 y^{2} (y + 3)$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{3 (y + 3)}{4 y (y + 3)}$

$\frac{3 (y + 3)}{4 y (y + 3)}$

$\frac{3 (y + 3)}{4 y (y + 3)}$

Cancel the common factor of $y + 3$ .

Cancel the common factor.

$\frac{3 (y + 3)}{4 y (y + 3)}$

Rewrite the expression.

$\frac{3}{4 y}$

$\frac{3}{4 y}$

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