Divide (5/8)÷4 1/6

$\frac{5}{8} \div 4 \frac{1}{6}$

Convert $4 \frac{1}{6}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$\frac{5}{8} \div (4 + \frac{1}{6})$

Add $4$ and $\frac{1}{6}$ .

To write $4$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$\frac{5}{8} \div (4 \cdot \frac{6}{6} + \frac{1}{6})$

Combine $4$ and $\frac{6}{6}$ .

$\frac{5}{8} \div (\frac{4 \cdot 6}{6} + \frac{1}{6})$

Combine the numerators over the common denominator.

$\frac{5}{8} \div \frac{4 \cdot 6 + 1}{6}$

Simplify the numerator.

Multiply $4$ by $6$ .

$\frac{5}{8} \div \frac{24 + 1}{6}$

Add $24$ and $1$ .

$\frac{5}{8} \div \frac{25}{6}$

To divide by a fraction, multiply by its reciprocal.

$\frac{5}{8} \cdot \frac{6}{25}$

Cancel the common factor of $5$ .

Factor $5$ out of $25$ .

$\frac{5}{8} \cdot \frac{6}{5 (5)}$

Cancel the common factor.

$\frac{5}{8} \cdot \frac{6}{5 \cdot 5}$

Rewrite the expression.

$\frac{1}{8} \cdot \frac{6}{5}$

Cancel the common factor of $2$ .

Factor $2$ out of $8$ .

$\frac{1}{2 (4)} \cdot \frac{6}{5}$

Factor $2$ out of $6$ .

$\frac{1}{2 \cdot 4} \cdot \frac{2 \cdot 3}{5}$

Cancel the common factor.

$\frac{1}{2 \cdot 4} \cdot \frac{2 \cdot 3}{5}$

Rewrite the expression.

$\frac{1}{4} \cdot \frac{3}{5}$

Multiply $\frac{1}{4}$ by $\frac{3}{5}$ .

$\frac{3}{4 \cdot 5}$

Multiply $4$ by $5$ .

$\frac{3}{20}$

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{20}$

Decimal Form:

$0.15$