Write the Fraction in Simplest Form 10÷6 3/7

$10 \div 6 \frac{3}{7}$

Convert $6 \frac{3}{7}$ to an improper fraction.

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

$10 \div (6 + \frac{3}{7})$

Add $6$ and $\frac{3}{7}$ .

To write $6$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$10 \div (6 \cdot \frac{7}{7} + \frac{3}{7})$

Combine $6$ and $\frac{7}{7}$ .

$10 \div (\frac{6 \cdot 7}{7} + \frac{3}{7})$

Combine the numerators over the common denominator.

$10 \div \frac{6 \cdot 7 + 3}{7}$

Simplify the numerator.

Multiply $6$ by $7$ .

$10 \div \frac{42 + 3}{7}$

Add $42$ and $3$ .

$10 \div \frac{45}{7}$

To divide by a fraction, multiply by its reciprocal.

$10 (\frac{7}{45})$

Cancel the common factor of $5$ .

Factor $5$ out of $10$ .

$5 (2) \frac{7}{45}$

Factor $5$ out of $45$ .

$5 \cdot 2 \frac{7}{5 \cdot 9}$

Cancel the common factor.

$5 \cdot 2 \frac{7}{5 \cdot 9}$

Rewrite the expression.

$2 (\frac{7}{9})$

Combine $2$ and $\frac{7}{9}$ .

$\frac{2 \cdot 7}{9}$

Multiply $2$ by $7$ .

$\frac{14}{9}$