Algebra Examples

$- \frac{16}{25} \div \frac{8}{5}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{16}{25} \cdot \frac{5}{8}$

Step 2

Cancel the common factor of $8$ .

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Step 2.1

Move the leading negative in $- \frac{16}{25}$ into the numerator.

$\frac{- 16}{25} \cdot \frac{5}{8}$

Step 2.2

Factor $8$ out of $- 16$ .

$\frac{8 (- 2)}{25} \cdot \frac{5}{8}$

Step 2.3

Cancel the common factor.

$\frac{8 \cdot - 2}{25} \cdot \frac{5}{8}$

Step 2.4

Rewrite the expression.

$\frac{- 2}{25} \cdot 5$

Step 3

Cancel the common factor of $5$ .

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Step 3.1

Factor $5$ out of $25$ .

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

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

$\frac{- 2}{5}$

Step 4

Move the negative in front of the fraction.

$- \frac{2}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{2}{5}$

Decimal Form:

$- 0.4$