Write the Fraction in Simplest Form 8 2/5÷6

$8 \frac{2}{5} \div 6$

Step 1

Convert $8 \frac{2}{5}$ to an improper fraction.

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

$(8 + \frac{2}{5}) \div 6$

Add $8$ and $\frac{2}{5}$ .

To write $8$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$(8 \cdot \frac{5}{5} + \frac{2}{5}) \div 6$

Combine $8$ and $\frac{5}{5}$ .

$(\frac{8 \cdot 5}{5} + \frac{2}{5}) \div 6$

Combine the numerators over the common denominator.

$\frac{8 \cdot 5 + 2}{5} \div 6$

Simplify the numerator.

Multiply $8$ by $5$ .

$\frac{40 + 2}{5} \div 6$

Add $40$ and $2$ .

$\frac{42}{5} \div 6$

Step 2

Rewrite the division as a fraction.

$\frac{\frac{42}{5}}{6}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{42}{5} \cdot \frac{1}{6}$

Step 4

Cancel the common factor of $6$ .

Factor $6$ out of $42$ .

$\frac{6 (7)}{5} \cdot \frac{1}{6}$

Cancel the common factor.

$\frac{6 \cdot 7}{5} \cdot \frac{1}{6}$

Rewrite the expression.

$\frac{7}{5}$