Basic Math Examples

\frac{7}{8} - \frac{7}{12}

$\frac{7}{8} - \frac{7}{12}$

Step 1

To write

$\frac{7}{8}$ as a fraction with a common denominator, multiply by

$\frac{3}{3}$ .

$\frac{7}{8} \cdot \frac{3}{3} - \frac{7}{12}$

Step 2

To write

$- \frac{7}{12}$ as a fraction with a common denominator, multiply by

$\frac{2}{2}$ .

$\frac{7}{8} \cdot \frac{3}{3} - \frac{7}{12} \cdot \frac{2}{2}$

Step 3

Write each expression with a common denominator of

$24$ , by multiplying each by an appropriate factor of

$1$ .

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Step 3.1

Multiply

$\frac{7}{8}$ by

$\frac{3}{3}$ .

$\frac{7 \cdot 3}{8 \cdot 3} - \frac{7}{12} \cdot \frac{2}{2}$

Step 3.2

Multiply

$8$ by

$3$ .

$\frac{7 \cdot 3}{24} - \frac{7}{12} \cdot \frac{2}{2}$

Step 3.3

Multiply

$\frac{7}{12}$ by

$\frac{2}{2}$ .

$\frac{7 \cdot 3}{24} - \frac{7 \cdot 2}{12 \cdot 2}$

Step 3.4

Multiply

$12$ by

$2$ .

$\frac{7 \cdot 3}{24} - \frac{7 \cdot 2}{24}$

Step 4

Combine the numerators over the common denominator.

$\frac{7 \cdot 3 - 7 \cdot 2}{24}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$7$ by

$3$ .

$\frac{21 - 7 \cdot 2}{24}$

Step 5.2

Multiply

$- 7$ by

$2$ .

$\frac{21 - 14}{24}$

Step 5.3

Subtract

$14$ from

$21$ .

$\frac{7}{24}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{24}$

Decimal Form:

$0.291\overline{6}$