Algebra Examples

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

Step 1

Multiply the numerator by the reciprocal of the denominator.

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

Step 2

Simplify terms.

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Step 2.1

Combine.

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

Step 2.2

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

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Step 2.2.1

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

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

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

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

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

Step 2.2.2.2

Cancel the common factor.

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

Step 2.2.2.3

Rewrite the expression.

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

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

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

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

Step 3

Multiply $- 7$ by $3$ .

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

Step 4

Simplify the expression.

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Step 4.1

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

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

Step 4.2

Move the negative in front of the fraction.

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

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

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$