Pre-Algebra Examples

$(- \frac{1}{2}) + \frac{3}{8} - (- \frac{1}{4})$

Step 1

Multiply $- (- \frac{1}{4})$ .

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Step 1.1

Multiply $- 1$ by $- 1$ .

$(- \frac{1}{2}) + \frac{3}{8} + 1 (\frac{1}{4})$

Step 1.2

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

$(- \frac{1}{2}) + \frac{3}{8} + \frac{1}{4}$

Step 2

Find the common denominator.

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Step 2.1

Multiply $\frac{1}{2}$ by $\frac{4}{4}$ .

$- (\frac{1}{2} \cdot \frac{4}{4}) + \frac{3}{8} + \frac{1}{4}$

Step 2.2

Multiply $\frac{1}{2}$ by $\frac{4}{4}$ .

$- \frac{4}{2 \cdot 4} + \frac{3}{8} + \frac{1}{4}$

Step 2.3

Multiply $\frac{1}{4}$ by $\frac{2}{2}$ .

$- \frac{4}{2 \cdot 4} + \frac{3}{8} + \frac{1}{4} \cdot \frac{2}{2}$

Step 2.4

Multiply $\frac{1}{4}$ by $\frac{2}{2}$ .

$- \frac{4}{2 \cdot 4} + \frac{3}{8} + \frac{2}{4 \cdot 2}$

Step 2.5

Multiply $2$ by $4$ .

$- \frac{4}{8} + \frac{3}{8} + \frac{2}{4 \cdot 2}$

Step 2.6

Reorder the factors of $4 \cdot 2$ .

$- \frac{4}{8} + \frac{3}{8} + \frac{2}{2 \cdot 4}$

Step 2.7

Multiply $2$ by $4$ .

$- \frac{4}{8} + \frac{3}{8} + \frac{2}{8}$

Step 3

Combine the numerators over the common denominator.

$\frac{- 4 + 3 + 2}{8}$

Step 4

Simplify by adding numbers.

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Step 4.1

Add $- 4$ and $3$ .

$\frac{- 1 + 2}{8}$

Step 4.2

Add $- 1$ and $2$ .

$\frac{1}{8}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{8}$

Decimal Form:

$0.125$