Basic Math Examples

$\frac{1}{2} + \frac{3}{4} - \frac{7}{8}$

Step 1

Find the common denominator.

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Step 1.1

Multiply

$\frac{1}{2}$ by

$\frac{4}{4}$ .

$\frac{1}{2} \cdot \frac{4}{4} + \frac{3}{4} - \frac{7}{8}$

Step 1.2

Multiply

$\frac{1}{2}$ by

$\frac{4}{4}$ .

$\frac{4}{2 \cdot 4} + \frac{3}{4} - \frac{7}{8}$

Step 1.3

Multiply

$\frac{3}{4}$ by

$\frac{2}{2}$ .

$\frac{4}{2 \cdot 4} + \frac{3}{4} \cdot \frac{2}{2} - \frac{7}{8}$

Step 1.4

Multiply

$\frac{3}{4}$ by

$\frac{2}{2}$ .

$\frac{4}{2 \cdot 4} + \frac{3 \cdot 2}{4 \cdot 2} - \frac{7}{8}$

Step 1.5

Multiply

$2$ by

$4$ .

$\frac{4}{8} + \frac{3 \cdot 2}{4 \cdot 2} - \frac{7}{8}$

Step 1.6

Reorder the factors of

$4 \cdot 2$ .

$\frac{4}{8} + \frac{3 \cdot 2}{2 \cdot 4} - \frac{7}{8}$

Step 1.7

Multiply

$2$ by

$4$ .

$\frac{4}{8} + \frac{3 \cdot 2}{8} - \frac{7}{8}$

Step 2

Combine the numerators over the common denominator.

$\frac{4 + 3 \cdot 2 - 7}{8}$

Step 3

Simplify the expression.

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Step 3.1

Multiply

$3$ by

$2$ .

$\frac{4 + 6 - 7}{8}$

Step 3.2

Add

$4$ and

$6$ .

$\frac{10 - 7}{8}$

Step 3.3

Subtract

$7$ from

$10$ .

$\frac{3}{8}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{8}$

Decimal Form:

$0.375$