Algebra Examples

$2 - (- \frac{1}{8}) + - \frac{7}{4}$

Step 1

Replace all occurrences of $+$ $-$ with a single $-$ . A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign because $1 \cdot - 1 = - 1$

$2 - (- \frac{1}{8}) - \frac{7}{4}$

Step 2

Multiply $- (- \frac{1}{8})$ .

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Step 2.1

Multiply $- 1$ by $- 1$ .

$2 + 1 (\frac{1}{8}) - \frac{7}{4}$

Step 2.2

Multiply $\frac{1}{8}$ by $1$ .

$2 + \frac{1}{8} - \frac{7}{4}$

Step 3

Find the common denominator.

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Step 3.1

Write $2$ as a fraction with denominator $1$ .

$\frac{2}{1} + \frac{1}{8} - \frac{7}{4}$

Step 3.2

Multiply $\frac{2}{1}$ by $\frac{8}{8}$ .

$\frac{2}{1} \cdot \frac{8}{8} + \frac{1}{8} - \frac{7}{4}$

Step 3.3

Multiply $\frac{2}{1}$ by $\frac{8}{8}$ .

$\frac{2 \cdot 8}{8} + \frac{1}{8} - \frac{7}{4}$

Step 3.4

Multiply $\frac{7}{4}$ by $\frac{2}{2}$ .

$\frac{2 \cdot 8}{8} + \frac{1}{8} - (\frac{7}{4} \cdot \frac{2}{2})$

Step 3.5

Multiply $\frac{7}{4}$ by $\frac{2}{2}$ .

$\frac{2 \cdot 8}{8} + \frac{1}{8} - \frac{7 \cdot 2}{4 \cdot 2}$

Step 3.6

Reorder the factors of $4 \cdot 2$ .

$\frac{2 \cdot 8}{8} + \frac{1}{8} - \frac{7 \cdot 2}{2 \cdot 4}$

Step 3.7

Multiply $2$ by $4$ .

$\frac{2 \cdot 8}{8} + \frac{1}{8} - \frac{7 \cdot 2}{8}$

Step 4

Combine the numerators over the common denominator.

$\frac{2 \cdot 8 + 1 - 7 \cdot 2}{8}$

Step 5

Simplify each term.

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Step 5.1

Multiply $2$ by $8$ .

$\frac{16 + 1 - 7 \cdot 2}{8}$

Step 5.2

Multiply $- 7$ by $2$ .

$\frac{16 + 1 - 14}{8}$

Step 6

Simplify by adding and subtracting.

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Step 6.1

Add $16$ and $1$ .

$\frac{17 - 14}{8}$

Step 6.2

Subtract $14$ from $17$ .

$\frac{3}{8}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{8}$

Decimal Form:

$0.375$