Evaluate 6÷6+6+2-5

$6 \div 6 + 6 + 2 - 5$

Step 1

Find the common denominator.

Write $6$ as a fraction with denominator $1$ .

$6 \div 6 + \frac{6}{1} + 2 - 5$

Multiply $\frac{6}{1}$ by $\frac{6}{6}$ .

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

Multiply $\frac{6}{1}$ by $\frac{6}{6}$ .

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

Write $2$ as a fraction with denominator $1$ .

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

Multiply $\frac{2}{1}$ by $\frac{6}{6}$ .

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

Multiply $\frac{2}{1}$ by $\frac{6}{6}$ .

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

Write $- 5$ as a fraction with denominator $1$ .

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

Multiply $\frac{- 5}{1}$ by $\frac{6}{6}$ .

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

Multiply $\frac{- 5}{1}$ by $\frac{6}{6}$ .

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

Step 2

Combine the numerators over the common denominator.

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

Step 3

Simplify each term.

Multiply $6$ by $6$ .

$\frac{6 + 36 + 2 \cdot 6 - 5 \cdot 6}{6}$

Multiply $2$ by $6$ .

$\frac{6 + 36 + 12 - 5 \cdot 6}{6}$

Multiply $- 5$ by $6$ .

$\frac{6 + 36 + 12 - 30}{6}$

Step 4

Simplify the expression.

Add $6$ and $36$ .

$\frac{42 + 12 - 30}{6}$

Add $42$ and $12$ .

$\frac{54 - 30}{6}$

Subtract $30$ from $54$ .

$\frac{24}{6}$

Divide $24$ by $6$ .

$4$