Algebra Examples

$6 \div 6 + 1 + 1 - 5$

Step 1

Find the common denominator.

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Step 1.1

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

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

Step 1.2

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

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

Step 1.3

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

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

Step 1.4

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

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

Step 1.5

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

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

Step 1.6

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

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

Step 1.7

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

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

Step 1.8

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

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

Step 1.9

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

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

Step 2

Combine the numerators over the common denominator.

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

Step 3

Simplify the expression.

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Step 3.1

Multiply $- 5$ by $6$ .

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

Step 3.2

Add $6$ and $6$ .

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

Step 3.3

Add $12$ and $6$ .

$\frac{18 - 30}{6}$

Step 3.4

Subtract $30$ from $18$ .

$\frac{- 12}{6}$

Step 3.5

Divide $- 12$ by $6$ .

$- 2$