Basic Math Examples

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

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

Step 1

Find the common denominator.

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Step 1.1

Multiply

\frac{1}{4}

$\frac{1}{4}$ by

\frac{2}{2}

$\frac{2}{2}$ .

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

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

Step 1.2

Multiply

\frac{1}{4}

$\frac{1}{4}$ by

\frac{2}{2}

$\frac{2}{2}$ .

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

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

Step 1.3

Multiply

\frac{1}{2}

$\frac{1}{2}$ by

\frac{4}{4}

$\frac{4}{4}$ .

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

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

Step 1.4

Multiply

\frac{1}{2}

$\frac{1}{2}$ by

\frac{4}{4}

$\frac{4}{4}$ .

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

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

Step 1.5

Reorder the factors of

4 \cdot 2

$4 \cdot 2$ .

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

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

Step 1.6

Multiply

2

$2$ by

4

$4$ .

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

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

Step 1.7

Multiply

2

$2$ by

4

$4$ .

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

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

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

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

Step 2

Combine the numerators over the common denominator.

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

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

Step 3

Simplify by adding and subtracting.

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Step 3.1

Subtract

2

$2$ from

7

$7$ .

\frac{5 + 4}{8}

$\frac{5 + 4}{8}$

Step 3.2

Add

5

$5$ and

4

$4$ .

\frac{9}{8}

$\frac{9}{8}$

\frac{9}{8}

$\frac{9}{8}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{9}{8}

$\frac{9}{8}$

Decimal Form:

1.125

$1.125$

Mixed Number Form:

1 \frac{1}{8}

$1 \frac{1}{8}$