Basic Math Examples

$2 (6 + 2 (9 - \frac{4}{5 + 1}))$

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

Add $5$ and $1$ .

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

Step 1.1.2

Cancel the common factor of $4$ and $6$ .

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Step 1.1.2.1

Factor $2$ out of $4$ .

$2 (6 + 2 (9 - \frac{2 (2)}{6}))$

Step 1.1.2.2

Cancel the common factors.

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Step 1.1.2.2.1

Factor $2$ out of $6$ .

$2 (6 + 2 (9 - \frac{2 \cdot 2}{2 \cdot 3}))$

Step 1.1.2.2.2

Cancel the common factor.

$2 (6 + 2 (9 - \frac{2 \cdot 2}{2 \cdot 3}))$

Step 1.1.2.2.3

Rewrite the expression.

$2 (6 + 2 (9 - \frac{2}{3}))$

Step 1.2

To write $9$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$2 (6 + 2 (9 \cdot \frac{3}{3} - \frac{2}{3}))$

Step 1.3

Combine $9$ and $\frac{3}{3}$ .

$2 (6 + 2 (\frac{9 \cdot 3}{3} - \frac{2}{3}))$

Step 1.4

Combine the numerators over the common denominator.

$2 (6 + 2 \frac{9 \cdot 3 - 2}{3})$

Step 1.5

Simplify the numerator.

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Step 1.5.1

Multiply $9$ by $3$ .

$2 (6 + 2 \frac{27 - 2}{3})$

Step 1.5.2

Subtract $2$ from $27$ .

$2 (6 + 2 (\frac{25}{3}))$

Step 1.6

Multiply $2 (\frac{25}{3})$ .

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Step 1.6.1

Combine $2$ and $\frac{25}{3}$ .

$2 (6 + \frac{2 \cdot 25}{3})$

Step 1.6.2

Multiply $2$ by $25$ .

$2 (6 + \frac{50}{3})$

Step 2

To write $6$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$2 (6 \cdot \frac{3}{3} + \frac{50}{3})$

Step 3

Combine $6$ and $\frac{3}{3}$ .

$2 (\frac{6 \cdot 3}{3} + \frac{50}{3})$

Step 4

Combine the numerators over the common denominator.

$2 \frac{6 \cdot 3 + 50}{3}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $6$ by $3$ .

$2 \frac{18 + 50}{3}$

Step 5.2

Add $18$ and $50$ .

$2 (\frac{68}{3})$

Step 6

Multiply $2 (\frac{68}{3})$ .

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Step 6.1

Combine $2$ and $\frac{68}{3}$ .

$\frac{2 \cdot 68}{3}$

Step 6.2

Multiply $2$ by $68$ .

$\frac{136}{3}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{136}{3}$

Decimal Form:

$45.\overline{3}$

Mixed Number Form:

$45 \frac{1}{3}$