Basic Math Examples

$(- \frac{1}{3}) - (- \frac{2}{7}) - \frac{1}{21}$

Step 1

Multiply $- (- \frac{2}{7})$ .

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Step 1.1

Multiply $- 1$ by $- 1$ .

$- \frac{1}{3} + 1 (\frac{2}{7}) - \frac{1}{21}$

Step 1.2

Multiply $\frac{2}{7}$ by $1$ .

$- \frac{1}{3} + \frac{2}{7} - \frac{1}{21}$

Step 2

Find the common denominator.

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Step 2.1

Multiply $\frac{1}{3}$ by $\frac{7}{7}$ .

$- (\frac{1}{3} \cdot \frac{7}{7}) + \frac{2}{7} - \frac{1}{21}$

Step 2.2

Multiply $\frac{1}{3}$ by $\frac{7}{7}$ .

$- \frac{7}{3 \cdot 7} + \frac{2}{7} - \frac{1}{21}$

Step 2.3

Multiply $\frac{2}{7}$ by $\frac{3}{3}$ .

$- \frac{7}{3 \cdot 7} + \frac{2}{7} \cdot \frac{3}{3} - \frac{1}{21}$

Step 2.4

Multiply $\frac{2}{7}$ by $\frac{3}{3}$ .

$- \frac{7}{3 \cdot 7} + \frac{2 \cdot 3}{7 \cdot 3} - \frac{1}{21}$

Step 2.5

Multiply $3$ by $7$ .

$- \frac{7}{21} + \frac{2 \cdot 3}{7 \cdot 3} - \frac{1}{21}$

Step 2.6

Reorder the factors of $7 \cdot 3$ .

$- \frac{7}{21} + \frac{2 \cdot 3}{3 \cdot 7} - \frac{1}{21}$

Step 2.7

Multiply $3$ by $7$ .

$- \frac{7}{21} + \frac{2 \cdot 3}{21} - \frac{1}{21}$

Step 3

Combine the numerators over the common denominator.

$\frac{- 7 + 2 \cdot 3 - 1}{21}$

Step 4

Simplify the expression.

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Step 4.1

Multiply $2$ by $3$ .

$\frac{- 7 + 6 - 1}{21}$

Step 4.2

Add $- 7$ and $6$ .

$\frac{- 1 - 1}{21}$

Step 4.3

Subtract $1$ from $- 1$ .

$\frac{- 2}{21}$

Step 4.4

Move the negative in front of the fraction.

$- \frac{2}{21}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{2}{21}$

Decimal Form:

$- 0.\overline{095238}$