Evaluate (8(109/125))/(3/5)

$\frac{8 (\frac{109}{125})}{\frac{3}{5}}$

Multiply the numerator by the reciprocal of the denominator.

$8 (\frac{109}{125}) \frac{5}{3}$

Multiply $8 (\frac{109}{125})$ .

Combine $8$ and $\frac{109}{125}$ .

$\frac{8 \cdot 109}{125} \cdot \frac{5}{3}$

Multiply $8$ by $109$ .

$\frac{872}{125} \cdot \frac{5}{3}$

Cancel the common factor of $5$ .

Factor $5$ out of $125$ .

$\frac{872}{5 (25)} \cdot \frac{5}{3}$

Cancel the common factor.

$\frac{872}{5 \cdot 25} \cdot \frac{5}{3}$

Rewrite the expression.

$\frac{872}{25} \cdot \frac{1}{3}$

Multiply $\frac{872}{25}$ by $\frac{1}{3}$ .

$\frac{872}{25 \cdot 3}$

Multiply $25$ by $3$ .

$\frac{872}{75}$

The result can be shown in multiple forms.

Exact Form:

$\frac{872}{75}$

Decimal Form:

$11.62\overline{6}$

Mixed Number Form:

$11 \frac{47}{75}$