Algebra Examples

$11 - 3 \cdot 2 + 2^{3} + 90 \div 6$

Step 1

Find the common denominator.

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Step 1.1

Write $11$ as a fraction with denominator $1$ .

$\frac{11}{1} - 3 \cdot 2 + 2^{3} + 90 \div 6$

Step 1.2

Multiply $\frac{11}{1}$ by $\frac{6}{6}$ .

$\frac{11}{1} \cdot \frac{6}{6} - 3 \cdot 2 + 2^{3} + 90 \div 6$

Step 1.3

Multiply $\frac{11}{1}$ by $\frac{6}{6}$ .

$\frac{11 \cdot 6}{6} - 3 \cdot 2 + 2^{3} + 90 \div 6$

Step 1.4

Write $- 3 \cdot 2$ as a fraction with denominator $1$ .

$\frac{11 \cdot 6}{6} + \frac{- 3 \cdot 2}{1} + 2^{3} + 90 \div 6$

Step 1.5

Multiply $\frac{- 3 \cdot 2}{1}$ by $\frac{6}{6}$ .

$\frac{11 \cdot 6}{6} + \frac{- 3 \cdot 2}{1} \cdot \frac{6}{6} + 2^{3} + 90 \div 6$

Step 1.6

Multiply $\frac{- 3 \cdot 2}{1}$ by $\frac{6}{6}$ .

$\frac{11 \cdot 6}{6} + \frac{- 3 \cdot 2 \cdot 6}{6} + 2^{3} + 90 \div 6$

Step 1.7

Write $2^{3}$ as a fraction with denominator $1$ .

$\frac{11 \cdot 6}{6} + \frac{- 3 \cdot 2 \cdot 6}{6} + \frac{2^{3}}{1} + 90 \div 6$

Step 1.8

Multiply $\frac{2^{3}}{1}$ by $\frac{6}{6}$ .

$\frac{11 \cdot 6}{6} + \frac{- 3 \cdot 2 \cdot 6}{6} + \frac{2^{3}}{1} \cdot \frac{6}{6} + 90 \div 6$

Step 1.9

Multiply $\frac{2^{3}}{1}$ by $\frac{6}{6}$ .

$\frac{11 \cdot 6}{6} + \frac{- 3 \cdot 2 \cdot 6}{6} + \frac{2^{3} \cdot 6}{6} + 90 \div 6$

Step 2

Combine the numerators over the common denominator.

$\frac{11 \cdot 6 - 3 \cdot 2 \cdot 6 + 2^{3} \cdot 6 + 90}{6}$

Step 3

Simplify each term.

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Step 3.1

Multiply $11$ by $6$ .

$\frac{66 - 3 \cdot 2 \cdot 6 + 2^{3} \cdot 6 + 90}{6}$

Step 3.2

Multiply $- 3 \cdot 2 \cdot 6$ .

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Step 3.2.1

Multiply $- 3$ by $2$ .

$\frac{66 - 6 \cdot 6 + 2^{3} \cdot 6 + 90}{6}$

Step 3.2.2

Multiply $- 6$ by $6$ .

$\frac{66 - 36 + 2^{3} \cdot 6 + 90}{6}$

Step 3.3

Raise $2$ to the power of $3$ .

$\frac{66 - 36 + 8 \cdot 6 + 90}{6}$

Step 3.4

Multiply $8$ by $6$ .

$\frac{66 - 36 + 48 + 90}{6}$

Step 4

Simplify the expression.

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Step 4.1

Subtract $36$ from $66$ .

$\frac{30 + 48 + 90}{6}$

Step 4.2

Add $30$ and $48$ .

$\frac{78 + 90}{6}$

Step 4.3

Add $78$ and $90$ .

$\frac{168}{6}$

Step 4.4

Divide $168$ by $6$ .

$28$