Pre-Algebra Examples

$\frac{\frac{25 x - 50 y}{30}}{\frac{x - 2 y}{6 x}}$

Step 1

Cancel the common factor of $25 x - 50 y$ and $30$ .

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Step 1.1

Factor $5$ out of $25 x$ .

$\frac{\frac{5 (5 x) - 50 y}{30}}{\frac{x - 2 y}{6 x}}$

Step 1.2

Factor $5$ out of $- 50 y$ .

$\frac{\frac{5 (5 x) + 5 (- 10 y)}{30}}{\frac{x - 2 y}{6 x}}$

Step 1.3

Factor $5$ out of $5 (5 x) + 5 (- 10 y)$ .

$\frac{\frac{5 (5 x - 10 y)}{30}}{\frac{x - 2 y}{6 x}}$

Step 1.4

Cancel the common factors.

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Step 1.4.1

Factor $5$ out of $30$ .

$\frac{\frac{5 (5 x - 10 y)}{5 (6)}}{\frac{x - 2 y}{6 x}}$

Step 1.4.2

Cancel the common factor.

$\frac{\frac{5 (5 x - 10 y)}{5 \cdot 6}}{\frac{x - 2 y}{6 x}}$

Step 1.4.3

Rewrite the expression.

$\frac{\frac{5 x - 10 y}{6}}{\frac{x - 2 y}{6 x}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{5 x - 10 y}{6} \cdot \frac{6 x}{x - 2 y}$

Step 3

Cancel the common factor of $6$ .

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Step 3.1

Factor $6$ out of $6 x$ .

$\frac{5 x - 10 y}{6} \cdot \frac{6 (x)}{x - 2 y}$

Step 3.2

Cancel the common factor.

$\frac{5 x - 10 y}{6} \cdot \frac{6 x}{x - 2 y}$

Step 3.3

Rewrite the expression.

$(5 x - 10 y) \frac{x}{x - 2 y}$

Step 4

Multiply $5 x - 10 y$ by $\frac{x}{x - 2 y}$ .

$\frac{(5 x - 10 y) x}{x - 2 y}$

Step 5

Factor $5$ out of $5 x - 10 y$ .

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Step 5.1

Factor $5$ out of $5 x$ .

$\frac{(5 (x) - 10 y) x}{x - 2 y}$

Step 5.2

Factor $5$ out of $- 10 y$ .

$\frac{(5 (x) + 5 (- 2 y)) x}{x - 2 y}$

Step 5.3

Factor $5$ out of $5 (x) + 5 (- 2 y)$ .

$\frac{5 (x - 2 y) x}{x - 2 y}$

Step 6

Cancel the common factor of $x - 2 y$ .

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Step 6.1

Cancel the common factor.

$\frac{5 (x - 2 y) x}{x - 2 y}$

Step 6.2

Divide $5 x$ by $1$ .

$5 x$