Basic Math Examples

- \frac{7}{12} - \frac{1}{8}

$- \frac{7}{12} - \frac{1}{8}$

Step 1

To write

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

$\frac{2}{2}$ .

$- \frac{7}{12} \cdot \frac{2}{2} - \frac{1}{8}$

Step 2

To write

$- \frac{1}{8}$ as a fraction with a common denominator, multiply by

$\frac{3}{3}$ .

$- \frac{7}{12} \cdot \frac{2}{2} - \frac{1}{8} \cdot \frac{3}{3}$

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

$\frac{7}{12}$ by

$\frac{2}{2}$ .

$- \frac{7 \cdot 2}{12 \cdot 2} - \frac{1}{8} \cdot \frac{3}{3}$

Step 3.2

Multiply

$12$ by

$2$ .

$- \frac{7 \cdot 2}{24} - \frac{1}{8} \cdot \frac{3}{3}$

Step 3.3

Multiply

$\frac{1}{8}$ by

$\frac{3}{3}$ .

$- \frac{7 \cdot 2}{24} - \frac{3}{8 \cdot 3}$

Step 3.4

Multiply

$8$ by

$3$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$- 7$ by

$2$ .

$\frac{- 14 - 3}{24}$

Step 5.2

Subtract

$3$ from

$- 14$ .

$\frac{- 17}{24}$

Step 6

Move the negative in front of the fraction.

$- \frac{17}{24}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{17}{24}$

Decimal Form:

$- 0.708\overline{3}$