Divide 6 3/5÷2 1/5

$6 \frac{3}{5} \div 2 \frac{1}{5}$

Convert $6 \frac{3}{5}$ to an improper fraction.

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

$(6 + \frac{3}{5}) \div 2 \frac{1}{5}$

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

To write $6$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$(6 \cdot \frac{5}{5} + \frac{3}{5}) \div 2 \frac{1}{5}$

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

$(\frac{6 \cdot 5}{5} + \frac{3}{5}) \div 2 \frac{1}{5}$

Combine the numerators over the common denominator.

$\frac{6 \cdot 5 + 3}{5} \div 2 \frac{1}{5}$

Simplify the numerator.

Multiply $6$ by $5$ .

$\frac{30 + 3}{5} \div 2 \frac{1}{5}$

Add $30$ and $3$ .

$\frac{33}{5} \div 2 \frac{1}{5}$

Convert $2 \frac{1}{5}$ to an improper fraction.

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

$\frac{33}{5} \div (2 + \frac{1}{5})$

Add $2$ and $\frac{1}{5}$ .

To write $2$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{33}{5} \div (2 \cdot \frac{5}{5} + \frac{1}{5})$

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

$\frac{33}{5} \div (\frac{2 \cdot 5}{5} + \frac{1}{5})$

Combine the numerators over the common denominator.

$\frac{33}{5} \div \frac{2 \cdot 5 + 1}{5}$

Simplify the numerator.

Multiply $2$ by $5$ .

$\frac{33}{5} \div \frac{10 + 1}{5}$

Add $10$ and $1$ .

$\frac{33}{5} \div \frac{11}{5}$

To divide by a fraction, multiply by its reciprocal.

$\frac{33}{5} \cdot \frac{5}{11}$

Cancel the common factor of $11$ .

Factor $11$ out of $33$ .

$\frac{11 (3)}{5} \cdot \frac{5}{11}$

Cancel the common factor.

$\frac{11 \cdot 3}{5} \cdot \frac{5}{11}$

Rewrite the expression.

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

Cancel the common factor of $5$ .

Cancel the common factor.

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

Rewrite the expression.

$3$