Finite Math Examples

$1 - (\frac{1}{18} + \frac{1}{12})$

Step 1

Simplify each term.

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Step 1.1

To write $\frac{1}{18}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$1 - (\frac{1}{18} \cdot \frac{2}{2} + \frac{1}{12})$

Step 1.2

To write $\frac{1}{12}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$1 - (\frac{1}{18} \cdot \frac{2}{2} + \frac{1}{12} \cdot \frac{3}{3})$

Step 1.3

Write each expression with a common denominator of $36$ , by multiplying each by an appropriate factor of $1$ .

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Step 1.3.1

Multiply $\frac{1}{18}$ by $\frac{2}{2}$ .

$1 - (\frac{2}{18 \cdot 2} + \frac{1}{12} \cdot \frac{3}{3})$

Step 1.3.2

Multiply $18$ by $2$ .

$1 - (\frac{2}{36} + \frac{1}{12} \cdot \frac{3}{3})$

Step 1.3.3

Multiply $\frac{1}{12}$ by $\frac{3}{3}$ .

$1 - (\frac{2}{36} + \frac{3}{12 \cdot 3})$

Step 1.3.4

Multiply $12$ by $3$ .

$1 - (\frac{2}{36} + \frac{3}{36})$

Step 1.4

Combine the numerators over the common denominator.

$1 - \frac{2 + 3}{36}$

Step 1.5

Add $2$ and $3$ .

$1 - \frac{5}{36}$

Step 2

Simplify the expression.

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Step 2.1

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

$\frac{36}{36} - \frac{5}{36}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{36 - 5}{36}$

Step 2.3

Subtract $5$ from $36$ .

$\frac{31}{36}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{31}{36}$

Decimal Form:

$0.86\overline{1}$