Algebra Examples

$15 \cdot 18 + 12 \div 3 + 9$

Step 1

Find the common denominator.

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Step 1.1

Write $15 \cdot 18$ as a fraction with denominator $1$ .

$\frac{15 \cdot 18}{1} + 12 \div 3 + 9$

Step 1.2

Multiply $\frac{15 \cdot 18}{1}$ by $\frac{3}{3}$ .

$\frac{15 \cdot 18}{1} \cdot \frac{3}{3} + 12 \div 3 + 9$

Step 1.3

Multiply $\frac{15 \cdot 18}{1}$ by $\frac{3}{3}$ .

$\frac{15 \cdot 18 \cdot 3}{3} + 12 \div 3 + 9$

Step 1.4

Write $9$ as a fraction with denominator $1$ .

$\frac{15 \cdot 18 \cdot 3}{3} + 12 \div 3 + \frac{9}{1}$

Step 1.5

Multiply $\frac{9}{1}$ by $\frac{3}{3}$ .

$\frac{15 \cdot 18 \cdot 3}{3} + 12 \div 3 + \frac{9}{1} \cdot \frac{3}{3}$

Step 1.6

Multiply $\frac{9}{1}$ by $\frac{3}{3}$ .

$\frac{15 \cdot 18 \cdot 3}{3} + 12 \div 3 + \frac{9 \cdot 3}{3}$

Step 2

Combine the numerators over the common denominator.

$\frac{15 \cdot 18 \cdot 3 + 12 + 9 \cdot 3}{3}$

Step 3

Simplify each term.

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Step 3.1

Multiply $15 \cdot 18 \cdot 3$ .

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Step 3.1.1

Multiply $15$ by $18$ .

$\frac{270 \cdot 3 + 12 + 9 \cdot 3}{3}$

Step 3.1.2

Multiply $270$ by $3$ .

$\frac{810 + 12 + 9 \cdot 3}{3}$

Step 3.2

Multiply $9$ by $3$ .

$\frac{810 + 12 + 27}{3}$

Step 4

Simplify the expression.

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Step 4.1

Add $810$ and $12$ .

$\frac{822 + 27}{3}$

Step 4.2

Add $822$ and $27$ .

$\frac{849}{3}$

Step 4.3

Divide $849$ by $3$ .

$283$