Algebra Examples

$2 ((\frac{9 - 4}{5}) (\frac{10 - 2}{4})) + \frac{(9) (6)}{18} + 2$

Step 1

Multiply $9$ by $6$ .

$2 ((\frac{9 - 4}{5}) (\frac{10 - 2}{4})) + \frac{54}{18} + 2$

Step 2

Simplify each term.

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Step 2.1

Subtract $4$ from $9$ .

$2 (\frac{5}{5} \cdot \frac{10 - 2}{4}) + \frac{54}{18} + 2$

Step 2.2

Subtract $2$ from $10$ .

$2 (\frac{5}{5} \cdot \frac{8}{4}) + \frac{54}{18} + 2$

Step 2.3

Cancel the common factor of $5$ .

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Step 2.3.1

Cancel the common factor.

$2 (\frac{5}{5} \cdot \frac{8}{4}) + \frac{54}{18} + 2$

Step 2.3.2

Rewrite the expression.

$2 (1 (\frac{8}{4})) + \frac{54}{18} + 2$

Step 2.4

Multiply $\frac{8}{4}$ by $1$ .

$2 (\frac{8}{4}) + \frac{54}{18} + 2$

Step 2.5

Cancel the common factor of $2$ .

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Step 2.5.1

Factor $2$ out of $4$ .

$2 \frac{8}{2 (2)} + \frac{54}{18} + 2$

Step 2.5.2

Cancel the common factor.

$2 \frac{8}{2 \cdot 2} + \frac{54}{18} + 2$

Step 2.5.3

Rewrite the expression.

$\frac{8}{2} + \frac{54}{18} + 2$

Step 2.6

Divide $8$ by $2$ .

$4 + \frac{54}{18} + 2$

Step 2.7

Divide $54$ by $18$ .

$4 + 3 + 2$

Step 3

Simplify by adding numbers.

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Step 3.1

Add $4$ and $3$ .

$7 + 2$

Step 3.2

Add $7$ and $2$ .

$9$