Basic Math Examples

$\frac{2}{3} + (\frac{5}{12} - \frac{1}{6})$

Step 1

Remove parentheses.

$\frac{2}{3} + \frac{5}{12} - \frac{1}{6}$

Step 2

Find the common denominator.

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Step 2.1

Multiply $\frac{2}{3}$ by $\frac{4}{4}$ .

$\frac{2}{3} \cdot \frac{4}{4} + \frac{5}{12} - \frac{1}{6}$

Step 2.2

Multiply $\frac{2}{3}$ by $\frac{4}{4}$ .

$\frac{2 \cdot 4}{3 \cdot 4} + \frac{5}{12} - \frac{1}{6}$

Step 2.3

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

$\frac{2 \cdot 4}{3 \cdot 4} + \frac{5}{12} - (\frac{1}{6} \cdot \frac{2}{2})$

Step 2.4

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

$\frac{2 \cdot 4}{3 \cdot 4} + \frac{5}{12} - \frac{2}{6 \cdot 2}$

Step 2.5

Multiply $3$ by $4$ .

$\frac{2 \cdot 4}{12} + \frac{5}{12} - \frac{2}{6 \cdot 2}$

Step 2.6

Reorder the factors of $6 \cdot 2$ .

$\frac{2 \cdot 4}{12} + \frac{5}{12} - \frac{2}{2 \cdot 6}$

Step 2.7

Multiply $2$ by $6$ .

$\frac{2 \cdot 4}{12} + \frac{5}{12} - \frac{2}{12}$

Step 3

Combine the numerators over the common denominator.

$\frac{2 \cdot 4 + 5 - 2}{12}$

Step 4

Simplify the expression.

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Step 4.1

Multiply $2$ by $4$ .

$\frac{8 + 5 - 2}{12}$

Step 4.2

Add $8$ and $5$ .

$\frac{13 - 2}{12}$

Step 4.3

Subtract $2$ from $13$ .

$\frac{11}{12}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{12}$

Decimal Form:

$0.91\overline{6}$