Algebra Examples

$- \frac{4}{5} \div (- \frac{16}{15})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{4}{5} (- \frac{15}{16})$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

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

$\frac{- 4}{5} (- \frac{15}{16})$

Step 2.2

Move the leading negative in $- \frac{15}{16}$ into the numerator.

$\frac{- 4}{5} \cdot \frac{- 15}{16}$

Step 2.3

Factor $4$ out of $- 4$ .

$\frac{4 (- 1)}{5} \cdot \frac{- 15}{16}$

Step 2.4

Factor $4$ out of $16$ .

$\frac{4 \cdot - 1}{5} \cdot \frac{- 15}{4 \cdot 4}$

Step 2.5

Cancel the common factor.

$\frac{4 \cdot - 1}{5} \cdot \frac{- 15}{4 \cdot 4}$

Step 2.6

Rewrite the expression.

$\frac{- 1}{5} \cdot \frac{- 15}{4}$

Step 3

Cancel the common factor of $5$ .

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Step 3.1

Factor $5$ out of $- 15$ .

$\frac{- 1}{5} \cdot \frac{5 (- 3)}{4}$

Step 3.2

Cancel the common factor.

$\frac{- 1}{5} \cdot \frac{5 \cdot - 3}{4}$

Step 3.3

Rewrite the expression.

$- \frac{- 3}{4}$

Step 4

Move the negative in front of the fraction.

$- - \frac{3}{4}$

Step 5

Multiply $- - \frac{3}{4}$ .

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Step 5.1

Multiply $- 1$ by $- 1$ .

$1 (\frac{3}{4})$

Step 5.2

Multiply $\frac{3}{4}$ by $1$ .

$\frac{3}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{4}$

Decimal Form:

$0.75$