Basic Math Examples

$- \frac{\frac{4}{15}}{- \frac{9}{5}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$- (\frac{4}{15} (- \frac{5}{9}))$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Move the leading negative in $- \frac{5}{9}$ into the numerator.

$- (\frac{4}{15} \cdot \frac{- 5}{9})$

Step 2.2

Factor $5$ out of $15$ .

$- (\frac{4}{5 (3)} \cdot \frac{- 5}{9})$

Step 2.3

Factor $5$ out of $- 5$ .

$- (\frac{4}{5 \cdot 3} \cdot \frac{5 \cdot - 1}{9})$

Step 2.4

Cancel the common factor.

$- (\frac{4}{5 \cdot 3} \cdot \frac{5 \cdot - 1}{9})$

Step 2.5

Rewrite the expression.

$- (\frac{4}{3} \cdot \frac{- 1}{9})$

Step 3

Multiply $\frac{4}{3}$ by $\frac{- 1}{9}$ .

$- \frac{4 \cdot - 1}{3 \cdot 9}$

Step 4

Simplify the expression.

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Step 4.1

Multiply $4$ by $- 1$ .

$- \frac{- 4}{3 \cdot 9}$

Step 4.2

Multiply $3$ by $9$ .

$- \frac{- 4}{27}$

Step 4.3

Move the negative in front of the fraction.

$- - \frac{4}{27}$

Step 5

Multiply $- - \frac{4}{27}$ .

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Step 5.1

Multiply $- 1$ by $- 1$ .

$1 (\frac{4}{27})$

Step 5.2

Multiply $\frac{4}{27}$ by $1$ .

$\frac{4}{27}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{27}$

Decimal Form:

$0.\overline{148}$