Basic Math Examples

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

Step 1

Multiply the numerator by the reciprocal of the denominator.

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

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Factor $4$ out of $- 4$ .

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

Step 2.2

Factor $4$ out of $16$ .

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

Step 2.3

Cancel the common factor.

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

Step 2.4

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 $- 5$ .

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

Step 3.2

Factor $5$ out of $15$ .

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

Step 3.3

Cancel the common factor.

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

Step 3.4

Rewrite the expression.

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

Step 4

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

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

Step 5

Multiply.

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Step 5.1

Multiply $- 1$ by $3$ .

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

Step 5.2

Multiply $- 1$ by $4$ .

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

Step 6

Dividing two negative values results in a positive value.

$\frac{3}{4}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{4}$

Decimal Form:

$0.75$