Basic Math Examples

$- \frac{4}{5} \div 1.6$

Step 1

Rewrite the division as a fraction.

$\frac{- \frac{4}{5}}{1.6}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$- \frac{4}{5} \cdot \frac{1}{1.6}$

Step 3

Divide $1$ by $1.6$ .

$- \frac{4}{5} \cdot 0.625$

Step 4

Cancel the common factor of $0.625$ .

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Step 4.1

Move the leading negative in $- \frac{4}{5}$ into the numerator.

$\frac{- 4}{5} \cdot 0.625$

Step 4.2

Factor $0.625$ out of $5$ .

$\frac{- 4}{0.625 (8)} \cdot 0.625$

Step 4.3

Cancel the common factor.

$\frac{- 4}{0.625 \cdot 8} \cdot 0.625$

Step 4.4

Rewrite the expression.

$\frac{- 4}{8}$

Step 5

Cancel the common factor of $- 4$ and $8$ .

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Step 5.1

Factor $4$ out of $- 4$ .

$\frac{4 (- 1)}{8}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $4$ out of $8$ .

$\frac{4 \cdot - 1}{4 \cdot 2}$

Step 5.2.2

Cancel the common factor.

$\frac{4 \cdot - 1}{4 \cdot 2}$

Step 5.2.3

Rewrite the expression.

$\frac{- 1}{2}$

Step 6

Move the negative in front of the fraction.

$- \frac{1}{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{2}$

Decimal Form:

$- 0.5$