Simplify (15/16)/(3/5)

$\frac{\frac{15}{16}}{\frac{3}{5}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{15}{16} \cdot \frac{5}{3}$

Step 2

Cancel the common factor of $3$ .

Factor $3$ out of $15$ .

$\frac{3 (5)}{16} \cdot \frac{5}{3}$

Cancel the common factor.

$\frac{3 \cdot 5}{16} \cdot \frac{5}{3}$

Rewrite the expression.

$\frac{5}{16} \cdot 5$

Step 3

Combine $\frac{5}{16}$ and $5$ .

$\frac{5 \cdot 5}{16}$

Step 4

Multiply $5$ by $5$ .

$\frac{25}{16}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{16}$

Decimal Form:

$1.5625$

Mixed Number Form:

$1 \frac{9}{16}$