Pre-Algebra Examples

$\frac{14 x + 7 y}{7 y}$

Step 1

Cancel the common factor of $14 x + 7 y$ and $7$ .

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Step 1.1

Factor $7$ out of $14 x$ .

$\frac{7 (2 x) + 7 y}{7 y}$

Step 1.2

Factor $7$ out of $7 y$ .

$\frac{7 (2 x) + 7 (y)}{7 y}$

Step 1.3

Factor $7$ out of $7 (2 x) + 7 (y)$ .

$\frac{7 (2 x + y)}{7 y}$

Step 1.4

Cancel the common factors.

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Step 1.4.1

Factor $7$ out of $7 y$ .

$\frac{7 (2 x + y)}{7 (y)}$

Step 1.4.2

Cancel the common factor.

$\frac{7 (2 x + y)}{7 y}$

Step 1.4.3

Rewrite the expression.

$\frac{2 x + y}{y}$

Step 2

Split the fraction $\frac{2 x + y}{y}$ into two fractions.

$\frac{2 x}{y} + \frac{y}{y}$

Step 3

Cancel the common factor of $y$ .

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Step 3.1

Cancel the common factor.

$\frac{2 x}{y} + \frac{y}{y}$

Step 3.2

Rewrite the expression.

$\frac{2 x}{y} + 1$