Write the Fraction in Simplest Form 14÷5 5/6

$14 \div 5 \frac{5}{6}$

Step 1

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

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

$14 \div (5 + \frac{5}{6})$

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

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

$14 \div (5 \cdot \frac{6}{6} + \frac{5}{6})$

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

$14 \div (\frac{5 \cdot 6}{6} + \frac{5}{6})$

Combine the numerators over the common denominator.

$14 \div \frac{5 \cdot 6 + 5}{6}$

Simplify the numerator.

Multiply $5$ by $6$ .

$14 \div \frac{30 + 5}{6}$

Add $30$ and $5$ .

$14 \div \frac{35}{6}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$14 (\frac{6}{35})$

Step 3

Cancel the common factor of $7$ .

Factor $7$ out of $14$ .

$7 (2) \frac{6}{35}$

Factor $7$ out of $35$ .

$7 \cdot 2 \frac{6}{7 \cdot 5}$

Cancel the common factor.

$7 \cdot 2 \frac{6}{7 \cdot 5}$

Rewrite the expression.

$2 (\frac{6}{5})$

Step 4

Combine $2$ and $\frac{6}{5}$ .

$\frac{2 \cdot 6}{5}$

Step 5

Multiply $2$ by $6$ .

$\frac{12}{5}$