Basic Math Examples

$\frac{\frac{11 y}{y - 7}}{\frac{1}{6 y - 42}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{11 y}{y - 7} (6 y - 42)$

Step 2

Multiply $\frac{11 y}{y - 7}$ by $6 y - 42$ .

$\frac{11 y (6 y - 42)}{y - 7}$

Step 3

Simplify the numerator.

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Step 3.1

Factor $6$ out of $6 y - 42$ .

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Step 3.1.1

Factor $6$ out of $6 y$ .

$\frac{11 y (6 (y) - 42)}{y - 7}$

Step 3.1.2

Factor $6$ out of $- 42$ .

$\frac{11 y (6 y + 6 \cdot - 7)}{y - 7}$

Step 3.1.3

Factor $6$ out of $6 y + 6 \cdot - 7$ .

$\frac{11 y (6 (y - 7))}{y - 7}$

$\frac{11 y \cdot 6 (y - 7)}{y - 7}$

Step 3.2

Multiply $6$ by $11$ .

$\frac{66 y (y - 7)}{y - 7}$

$\frac{66 y (y - 7)}{y - 7}$

Step 4

Cancel the common factor of $y - 7$ .

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Step 4.1

Cancel the common factor.

$\frac{66 y (y - 7)}{y - 7}$

Step 4.2

Divide $66 y$ by $1$ .

$66 y$

$66 y$

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