Basic Math Examples

$\frac{1}{- 6} - \frac{2}{7}$

Step 1

Move the negative in front of the fraction.

$- \frac{1}{6} - \frac{2}{7}$

Step 2

To write

$- \frac{1}{6}$ as a fraction with a common denominator, multiply by

$\frac{7}{7}$ .

$- \frac{1}{6} \cdot \frac{7}{7} - \frac{2}{7}$

Step 3

To write

$- \frac{2}{7}$ as a fraction with a common denominator, multiply by

$\frac{6}{6}$ .

$- \frac{1}{6} \cdot \frac{7}{7} - \frac{2}{7} \cdot \frac{6}{6}$

Step 4

Write each expression with a common denominator of

$42$ , by multiplying each by an appropriate factor of

$1$ .

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Step 4.1

Multiply

$\frac{1}{6}$ by

$\frac{7}{7}$ .

$- \frac{7}{6 \cdot 7} - \frac{2}{7} \cdot \frac{6}{6}$

Step 4.2

Multiply

$6$ by

$7$ .

$- \frac{7}{42} - \frac{2}{7} \cdot \frac{6}{6}$

Step 4.3

Multiply

$\frac{2}{7}$ by

$\frac{6}{6}$ .

$- \frac{7}{42} - \frac{2 \cdot 6}{7 \cdot 6}$

Step 4.4

Multiply

$7$ by

$6$ .

$- \frac{7}{42} - \frac{2 \cdot 6}{42}$

Step 5

Combine the numerators over the common denominator.

$\frac{- 7 - 2 \cdot 6}{42}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply

$- 2$ by

$6$ .

$\frac{- 7 - 12}{42}$

Step 6.2

Subtract

$12$ from

$- 7$ .

$\frac{- 19}{42}$

Step 7

Move the negative in front of the fraction.

$- \frac{19}{42}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{19}{42}$

Decimal Form:

$- 0.4\overline{523809}$