Pre-Algebra Examples

$\frac{13 x}{4 y} \div 3 x$

Step 1

Rewrite the division as a fraction.

$\frac{\frac{13 x}{4 y}}{3 x}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{13 x}{4 y} \cdot \frac{1}{3 x}$

Step 3

Cancel the common factor of $x$ .

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Step 3.1

Factor $x$ out of $13 x$ .

$\frac{x \cdot 13}{4 y} \cdot \frac{1}{3 x}$

Step 3.2

Factor $x$ out of $3 x$ .

$\frac{x \cdot 13}{4 y} \cdot \frac{1}{x \cdot 3}$

Step 3.3

Cancel the common factor.

$\frac{x \cdot 13}{4 y} \cdot \frac{1}{x \cdot 3}$

Step 3.4

Rewrite the expression.

$\frac{13}{4 y} \cdot \frac{1}{3}$

Step 4

Multiply $\frac{13}{4 y}$ by $\frac{1}{3}$ .

$\frac{13}{4 y \cdot 3}$

Step 5

Multiply $3$ by $4$ .

$\frac{13}{12 y}$