Simplify ((7x^2)/(12x))÷((14x^3)/(48y^3))

$\frac{7 x^{2}}{12 x} \div \frac{14 x^{3}}{48 y^{3}}$

To divide by a fraction, multiply by its reciprocal.

$\frac{7 x^{2}}{12 x} \cdot \frac{48 y^{3}}{14 x^{3}}$

Combine.

$\frac{7 x^{2} (48 y^{3})}{12 x (14 x^{3})}$

Multiply $x$ by $x^{3}$ by adding the exponents.

Move $x^{3}$ .

$\frac{7 x^{2} (48 y^{3})}{12 (x^{3} x) \cdot 14}$

Multiply $x^{3}$ by $x$ .

Raise $x$ to the power of $1$ .

$\frac{7 x^{2} (48 y^{3})}{12 (x^{3} x^{1}) \cdot 14}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{7 x^{2} (48 y^{3})}{12 x^{3 + 1} \cdot 14}$

Add $3$ and $1$ .

$\frac{7 x^{2} (48 y^{3})}{12 x^{4} \cdot 14}$

Cancel the common factor of $7$ and $14$ .

Factor $7$ out of $7 x^{2} (48 y^{3})$ .

$\frac{7 (x^{2} (48 y^{3}))}{12 x^{4} \cdot 14}$

Cancel the common factors.

Factor $7$ out of $12 x^{4} \cdot 14$ .

$\frac{7 (x^{2} (48 y^{3}))}{7 (12 x^{4} \cdot 2)}$

Cancel the common factor.

$\frac{7 (x^{2} (48 y^{3}))}{7 (12 x^{4} \cdot 2)}$

Rewrite the expression.

$\frac{x^{2} (48 y^{3})}{12 x^{4} \cdot 2}$

Cancel the common factors.

Factor $x^{2}$ out of $12 x^{4} \cdot 2$ .

$\frac{x^{2} (48 y^{3})}{x^{2} (12 x^{2} \cdot 2)}$

Cancel the common factor.

$\frac{x^{2} (48 y^{3})}{x^{2} (12 x^{2} \cdot 2)}$

Rewrite the expression.

$\frac{48 y^{3}}{12 x^{2} \cdot 2}$

Cancel the common factor of $48$ and $12$ .

Factor $12$ out of $48 y^{3}$ .

$\frac{12 (4 y^{3})}{12 x^{2} \cdot 2}$

Cancel the common factors.

Factor $12$ out of $12 x^{2} \cdot 2$ .

$\frac{12 (4 y^{3})}{12 (x^{2} \cdot 2)}$

Cancel the common factor.

$\frac{12 (4 y^{3})}{12 (x^{2} \cdot 2)}$

Rewrite the expression.

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

Cancel the common factor of $4$ and $2$ .

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

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

Cancel the common factors.

Factor $2$ out of $x^{2} \cdot 2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Simplify ((7x^2)/(12x))÷((14x^3)/(48y^3))

Related Questions

Support LCMGCF.com by disabling your adblocker.