Basic Math Examples

$- \frac{1}{7} \div (- \frac{3}{7})$

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

Cancel the common factor of $7$ .

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Step 2.1

Move the leading negative in $- \frac{1}{7}$ into the numerator.

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

Step 2.2

Move the leading negative in $- \frac{7}{3}$ into the numerator.

$\frac{- 1}{7} \cdot \frac{- 7}{3}$

Step 2.3

Factor $7$ out of $- 7$ .

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

Step 2.4

Cancel the common factor.

$\frac{- 1}{7} \cdot \frac{7 \cdot - 1}{3}$

Step 2.5

Rewrite the expression.

$- \frac{- 1}{3}$

Step 3

Move the negative in front of the fraction.

$- - \frac{1}{3}$

Step 4

Multiply $- - \frac{1}{3}$ .

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Step 4.1

Multiply $- 1$ by $- 1$ .

$1 (\frac{1}{3})$

Step 4.2

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

$\frac{1}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{3}$

Decimal Form:

$0.\overline{3}$