Basic Math Examples

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

Step 1

Combine the numerators over the common denominator.

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

Step 2

Simplify the expression.

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Step 2.1

Subtract $2$ from $1$ .

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

Step 2.2

Move the negative in front of the fraction.

$\frac{2}{3} - \frac{1}{6}$

Step 3

To write $\frac{2}{3}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{2}{3} \cdot \frac{2}{2} - \frac{1}{6}$

Step 4

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

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Step 4.1

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

$\frac{2 \cdot 2}{3 \cdot 2} - \frac{1}{6}$

Step 4.2

Multiply $3$ by $2$ .

$\frac{2 \cdot 2}{6} - \frac{1}{6}$

Step 5

Combine the numerators over the common denominator.

$\frac{2 \cdot 2 - 1}{6}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $2$ by $2$ .

$\frac{4 - 1}{6}$

Step 6.2

Subtract $1$ from $4$ .

$\frac{3}{6}$

Step 7

Cancel the common factor of $3$ and $6$ .

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Step 7.1

Factor $3$ out of $3$ .

$\frac{3 (1)}{6}$

Step 7.2

Cancel the common factors.

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Step 7.2.1

Factor $3$ out of $6$ .

$\frac{3 \cdot 1}{3 \cdot 2}$

Step 7.2.2

Cancel the common factor.

$\frac{3 \cdot 1}{3 \cdot 2}$

Step 7.2.3

Rewrite the expression.

$\frac{1}{2}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$