Simplify (-7/(x^2))/(10/(3x))

$\frac{\frac{- 7}{x^{2}}}{\frac{10}{3 x}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{- 7}{x^{2}} \cdot \frac{3 x}{10}$

Step 2

Simplify terms.

Combine.

$\frac{- 7 (3 x)}{x^{2} \cdot 10}$

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

Factor $x$ out of $- 7 (3 x)$ .

$\frac{x (- 7 \cdot (3))}{x^{2} \cdot 10}$

Cancel the common factors.

Factor $x$ out of $x^{2} \cdot 10$ .

$\frac{x (- 7 \cdot (3))}{x (x \cdot 10)}$

Cancel the common factor.

$\frac{x (- 7 \cdot (3))}{x (x \cdot 10)}$

Rewrite the expression.

$\frac{- 7 \cdot (3)}{x \cdot 10}$

Step 3

Multiply $- 7$ by $3$ .

$\frac{- 21}{x \cdot 10}$

Step 4

Simplify the expression.

Move $10$ to the left of $x$ .

$\frac{- 21}{10 \cdot x}$

Move the negative in front of the fraction.

$- \frac{21}{10 x}$