Basic Math Examples

\frac{1}{5} \div (- \frac{5}{10})

$\frac{1}{5} \div (- \frac{5}{10})$

Step 1

To divide by a fraction, multiply by its reciprocal.

\frac{1}{5} (- \frac{10}{5})

$\frac{1}{5} (- \frac{10}{5})$

Step 2

Cancel the common factor of

5

$5$ .

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Step 2.1

Move the leading negative in

- \frac{10}{5}

$- \frac{10}{5}$ into the numerator.

\frac{1}{5} \cdot \frac{- 10}{5}

$\frac{1}{5} \cdot \frac{- 10}{5}$

Step 2.2

Factor

5

$5$ out of

- 10

$- 10$ .

\frac{1}{5} \cdot \frac{5 (- 2)}{5}

$\frac{1}{5} \cdot \frac{5 (- 2)}{5}$

Step 2.3

Cancel the common factor.

$\frac{1}{5} \cdot \frac{5 \cdot - 2}{5}$

Step 2.4

Rewrite the expression.

$\frac{- 2}{5}$

Step 3

Move the negative in front of the fraction.

$- \frac{2}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{2}{5}$

Decimal Form:

$- 0.4$