Finite Math Examples

$\frac{2}{3} + \frac{1}{3} + \frac{1}{6} + \frac{1}{12}$

Step 1

Combine the numerators over the common denominator.

$\frac{2 + 1}{3} + \frac{1}{6} + \frac{1}{12}$

Step 2

Add $2$ and $1$ .

$\frac{3}{3} + \frac{1}{6} + \frac{1}{12}$

Step 3

Find the common denominator.

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Step 3.1

Multiply $\frac{3}{3}$ by $\frac{4}{4}$ .

$\frac{3}{3} \cdot \frac{4}{4} + \frac{1}{6} + \frac{1}{12}$

Step 3.2

Multiply $\frac{3}{3}$ by $\frac{4}{4}$ .

$\frac{3 \cdot 4}{3 \cdot 4} + \frac{1}{6} + \frac{1}{12}$

Step 3.3

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

$\frac{3 \cdot 4}{3 \cdot 4} + \frac{1}{6} \cdot \frac{2}{2} + \frac{1}{12}$

Step 3.4

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

$\frac{3 \cdot 4}{3 \cdot 4} + \frac{2}{6 \cdot 2} + \frac{1}{12}$

Step 3.5

Multiply $3$ by $4$ .

$\frac{3 \cdot 4}{12} + \frac{2}{6 \cdot 2} + \frac{1}{12}$

Step 3.6

Reorder the factors of $6 \cdot 2$ .

$\frac{3 \cdot 4}{12} + \frac{2}{2 \cdot 6} + \frac{1}{12}$

Step 3.7

Multiply $2$ by $6$ .

$\frac{3 \cdot 4}{12} + \frac{2}{12} + \frac{1}{12}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 \cdot 4 + 2 + 1}{12}$

Step 5

Simplify the expression.

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Step 5.1

Multiply $3$ by $4$ .

$\frac{12 + 2 + 1}{12}$

Step 5.2

Add $12$ and $2$ .

$\frac{14 + 1}{12}$

Step 5.3

Add $14$ and $1$ .

$\frac{15}{12}$

Step 6

Cancel the common factor of $15$ and $12$ .

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Step 6.1

Factor $3$ out of $15$ .

$\frac{3 (5)}{12}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $3$ out of $12$ .

$\frac{3 \cdot 5}{3 \cdot 4}$

Step 6.2.2

Cancel the common factor.

$\frac{3 \cdot 5}{3 \cdot 4}$

Step 6.2.3

Rewrite the expression.

$\frac{5}{4}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{4}$

Decimal Form:

$1.25$

Mixed Number Form:

$1 \frac{1}{4}$