Basic Math Examples

$\frac{1}{4} - \frac{2}{3} - (- \frac{1}{6})$

Step 1

Multiply $- (- \frac{1}{6})$ .

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Step 1.1

Multiply $- 1$ by $- 1$ .

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

Step 1.2

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

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

Step 2

Find the common denominator.

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Step 2.1

Multiply $\frac{1}{4}$ by $\frac{3}{3}$ .

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

Step 2.2

Multiply $\frac{1}{4}$ by $\frac{3}{3}$ .

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

Step 2.3

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

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

Step 2.4

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

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

Step 2.5

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

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

Step 2.6

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

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

Step 2.7

Reorder the factors of $4 \cdot 3$ .

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

Step 2.8

Multiply $3$ by $4$ .

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

Step 2.9

Multiply $3$ by $4$ .

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

Step 2.10

Reorder the factors of $6 \cdot 2$ .

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

Step 2.11

Multiply $2$ by $6$ .

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

Step 3

Combine the numerators over the common denominator.

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

Step 4

Simplify the expression.

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Step 4.1

Multiply $- 2$ by $4$ .

$\frac{3 - 8 + 2}{12}$

Step 4.2

Subtract $8$ from $3$ .

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

Step 4.3

Add $- 5$ and $2$ .

$\frac{- 3}{12}$

Step 5

Cancel the common factor of $- 3$ and $12$ .

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Step 5.1

Factor $3$ out of $- 3$ .

$\frac{3 (- 1)}{12}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $3$ out of $12$ .

$\frac{3 \cdot - 1}{3 \cdot 4}$

Step 5.2.2

Cancel the common factor.

$\frac{3 \cdot - 1}{3 \cdot 4}$

Step 5.2.3

Rewrite the expression.

$\frac{- 1}{4}$

Step 6

Move the negative in front of the fraction.

$- \frac{1}{4}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{4}$

Decimal Form:

$- 0.25$