Divide (5/6)÷(1/4)

$\frac{5}{6} \div \frac{1}{4}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{5}{6} \cdot 4$

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $6$ .

$\frac{5}{2 (3)} \cdot 4$

Factor $2$ out of $4$ .

$\frac{5}{2 \cdot 3} \cdot (2 \cdot 2)$

Cancel the common factor.

$\frac{5}{2 \cdot 3} \cdot (2 \cdot 2)$

Rewrite the expression.

$\frac{5}{3} \cdot 2$

Step 3

Combine $\frac{5}{3}$ and $2$ .

$\frac{5 \cdot 2}{3}$

Step 4

Multiply $5$ by $2$ .

$\frac{10}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{10}{3}$

Decimal Form:

$3.\overline{3}$

Mixed Number Form:

$3 \frac{1}{3}$