Write the Fraction in Simplest Form 15÷4 1/6

$15 \div 4 \frac{1}{6}$

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

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

$15 \div (4 + \frac{1}{6})$

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

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

$15 \div (4 \cdot \frac{6}{6} + \frac{1}{6})$

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

$15 \div (\frac{4 \cdot 6}{6} + \frac{1}{6})$

Combine the numerators over the common denominator.

$15 \div \frac{4 \cdot 6 + 1}{6}$

Simplify the numerator.

Multiply $4$ by $6$ .

$15 \div \frac{24 + 1}{6}$

Add $24$ and $1$ .

$15 \div \frac{25}{6}$

To divide by a fraction, multiply by its reciprocal.

$15 (\frac{6}{25})$

Cancel the common factor of $5$ .

Factor $5$ out of $15$ .

$5 (3) \frac{6}{25}$

Factor $5$ out of $25$ .

$5 \cdot 3 \frac{6}{5 \cdot 5}$

Cancel the common factor.

$5 \cdot 3 \frac{6}{5 \cdot 5}$

Rewrite the expression.

$3 (\frac{6}{5})$

Combine $3$ and $\frac{6}{5}$ .

$\frac{3 \cdot 6}{5}$

Multiply $3$ by $6$ .

$\frac{18}{5}$