Simplify (6xy)/(15ab^2)*(21a^3)/(18x^4y)

$\frac{6 x y}{15 a b^{2}} \cdot \frac{21 a^{3}}{18 x^{4} y}$

Combine.

$\frac{6 x y (21 a^{3})}{15 a b^{2} (18 x^{4} y)}$

Cancel the common factor of $6$ and $15$ .

Factor $3$ out of $6 x y (21 a^{3})$ .

$\frac{3 (2 x y (21 a^{3}))}{15 a b^{2} (18 x^{4} y)}$

Cancel the common factors.

Factor $3$ out of $15 a b^{2} (18 x^{4} y)$ .

$\frac{3 (2 x y (21 a^{3}))}{3 (5 a b^{2} (18 x^{4} y))}$

Cancel the common factor.

$\frac{3 (2 x y (21 a^{3}))}{3 (5 a b^{2} (18 x^{4} y))}$

Rewrite the expression.

$\frac{2 x y (21 a^{3})}{5 a b^{2} (18 x^{4} y)}$

Cancel the common factor of $2$ and $18$ .

Factor $2$ out of $2 x y (21 a^{3})$ .

$\frac{2 (x y (21 a^{3}))}{5 a b^{2} (18 x^{4} y)}$

Cancel the common factors.

Factor $2$ out of $5 a b^{2} (18 x^{4} y)$ .

$\frac{2 (x y (21 a^{3}))}{2 (5 a b^{2} (9 x^{4} y))}$

Cancel the common factor.

$\frac{2 (x y (21 a^{3}))}{2 (5 a b^{2} (9 x^{4} y))}$

Rewrite the expression.

$\frac{x y (21 a^{3})}{5 a b^{2} (9 x^{4} y)}$

Cancel the common factor of $x$ and $x^{4}$ .

Factor $x$ out of $x y (21 a^{3})$ .

$\frac{x (y (21 a^{3}))}{5 a b^{2} (9 x^{4} y)}$

Cancel the common factors.

Factor $x$ out of $5 a b^{2} (9 x^{4} y)$ .

$\frac{x (y (21 a^{3}))}{x (5 a b^{2} (9 x^{3} y))}$

Cancel the common factor.

$\frac{x (y (21 a^{3}))}{x (5 a b^{2} (9 x^{3} y))}$

Rewrite the expression.

$\frac{y (21 a^{3})}{5 a b^{2} (9 x^{3} y)}$

Cancel the common factor of $y$ .

Cancel the common factor.

$\frac{y (21 a^{3})}{5 a b^{2} (9 x^{3} y)}$

Rewrite the expression.

$\frac{21 a^{3}}{5 a b^{2} (9 x^{3})}$

Cancel the common factor of $21$ and $9$ .

Factor $3$ out of $21 a^{3}$ .

$\frac{3 (7 a^{3})}{5 a b^{2} (9 x^{3})}$

Cancel the common factors.

Factor $3$ out of $5 a b^{2} (9 x^{3})$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

Factor $a$ out of $7 a^{3}$ .

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

Cancel the common factors.

Factor $a$ out of $5 a b^{2} (3 x^{3})$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Multiply $3$ by $5$ .

$\frac{7 a^{2}}{15 b^{2} x^{3}}$

Simplify (6xy)/(15ab^2)*(21a^3)/(18x^4y)

Related Questions

Support LCMGCF.com by disabling your adblocker.