Simplify 20/(26x)*(13x)/(4x)

$\frac{20}{26 x} \cdot \frac{13 x}{4 x}$

Step 1

Cancel the common factor of $4$ .

Factor $4$ out of $20$ .

$\frac{4 (5)}{26 x} \cdot \frac{13 x}{4 x}$

Factor $4$ out of $4 x$ .

$\frac{4 (5)}{26 x} \cdot \frac{13 x}{4 (x)}$

Cancel the common factor.

$\frac{4 \cdot 5}{26 x} \cdot \frac{13 x}{4 x}$

Rewrite the expression.

$\frac{5}{26 x} \cdot \frac{13 x}{x}$

$\frac{5}{26 x} \cdot \frac{13 x}{x}$

Step 2

Cancel the common factor of $13 x$ .

Factor $13 x$ out of $26 x$ .

$\frac{5}{13 x (2)} \cdot \frac{13 x}{x}$

Cancel the common factor.

$\frac{5}{13 x \cdot 2} \cdot \frac{13 x}{x}$

Rewrite the expression.

$\frac{5}{2} \cdot \frac{1}{x}$

$\frac{5}{2} \cdot \frac{1}{x}$

Step 3

Multiply $\frac{5}{2}$ by $\frac{1}{x}$ .

$\frac{5}{2 x}$

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