Basic Math Examples

$\frac{1}{2} + \frac{5}{8} - (- \frac{7}{16})$

Step 1

Multiply $- (- \frac{7}{16})$ .

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Step 1.1

Multiply $- 1$ by $- 1$ .

$\frac{1}{2} + \frac{5}{8} + 1 (\frac{7}{16})$

Step 1.2

Multiply $\frac{7}{16}$ by $1$ .

$\frac{1}{2} + \frac{5}{8} + \frac{7}{16}$

Step 2

Find the common denominator.

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Step 2.1

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

$\frac{1}{2} \cdot \frac{8}{8} + \frac{5}{8} + \frac{7}{16}$

Step 2.2

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

$\frac{8}{2 \cdot 8} + \frac{5}{8} + \frac{7}{16}$

Step 2.3

Multiply $\frac{5}{8}$ by $\frac{2}{2}$ .

$\frac{8}{2 \cdot 8} + \frac{5}{8} \cdot \frac{2}{2} + \frac{7}{16}$

Step 2.4

Multiply $\frac{5}{8}$ by $\frac{2}{2}$ .

$\frac{8}{2 \cdot 8} + \frac{5 \cdot 2}{8 \cdot 2} + \frac{7}{16}$

Step 2.5

Multiply $2$ by $8$ .

$\frac{8}{16} + \frac{5 \cdot 2}{8 \cdot 2} + \frac{7}{16}$

Step 2.6

Reorder the factors of $8 \cdot 2$ .

$\frac{8}{16} + \frac{5 \cdot 2}{2 \cdot 8} + \frac{7}{16}$

Step 2.7

Multiply $2$ by $8$ .

$\frac{8}{16} + \frac{5 \cdot 2}{16} + \frac{7}{16}$

Step 3

Combine the numerators over the common denominator.

$\frac{8 + 5 \cdot 2 + 7}{16}$

Step 4

Simplify the expression.

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Step 4.1

Multiply $5$ by $2$ .

$\frac{8 + 10 + 7}{16}$

Step 4.2

Add $8$ and $10$ .

$\frac{18 + 7}{16}$

Step 4.3

Add $18$ and $7$ .

$\frac{25}{16}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{16}$

Decimal Form:

$1.5625$

Mixed Number Form:

$1 \frac{9}{16}$