Pre-Algebra Examples

$\frac{\frac{4 y}{5 a}}{\frac{2 y}{15 a y}}$

Step 1

Cancel the common factor of $y$ .

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Step 1.1

Cancel the common factor.

$\frac{\frac{4 y}{5 a}}{\frac{2 y}{15 a y}}$

Step 1.2

Rewrite the expression.

$\frac{\frac{4 y}{5 a}}{\frac{2}{15 a}}$

$\frac{\frac{4 y}{5 a}}{\frac{2}{15 a}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{4 y}{5 a} \cdot \frac{15 a}{2}$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $4 y$ .

$\frac{2 (2 y)}{5 a} \cdot \frac{15 a}{2}$

Step 3.2

Cancel the common factor.

$\frac{2 (2 y)}{5 a} \cdot \frac{15 a}{2}$

Step 3.3

Rewrite the expression.

$\frac{2 y}{5 a} (15 a)$

$\frac{2 y}{5 a} (15 a)$

Step 4

Cancel the common factor of $5 a$ .

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Step 4.1

Factor $5 a$ out of $15 a$ .

$\frac{2 y}{5 a} (5 a (3))$

Step 4.2

Cancel the common factor.

$\frac{2 y}{5 a} (5 a \cdot 3)$

Step 4.3

Rewrite the expression.

$2 y \cdot 3$

$2 y \cdot 3$

Step 5

Multiply $3$ by $2$ .

$6 y$

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