Solve -36/5/2*(-frac{1{5})}=

$$\frac { - \frac { 36 } { 5 } } { 2 \cdot ( - \frac { 1 } { 5 } ) } =$$

Evaluate

$$18$$

Solution Steps

Express 2\left(-\frac{1}{5}\right) as a single fraction.

$$\frac{-\frac{36}{5}}{\frac{2\left(-1\right)}{5}}$$

Multiply 2 and -1 to get -2.

$$\frac{-\frac{36}{5}}{\frac{-2}{5}}$$

Fraction \frac{-2}{5} can be rewritten as -\frac{2}{5} by extracting the negative sign.

$$\frac{-\frac{36}{5}}{-\frac{2}{5}}$$

Divide -\frac{36}{5} by -\frac{2}{5} by multiplying -\frac{36}{5} by the reciprocal of -\frac{2}{5}.

$$-\frac{36}{5}\left(-\frac{5}{2}\right)$$

Multiply -\frac{36}{5} times -\frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-36\left(-5\right)}{5\times 2}$$

Do the multiplications in the fraction \frac{-36\left(-5\right)}{5\times 2}.

$$\frac{180}{10}$$

Divide 180 by 10 to get 18.

$$18$$

Factor

$$2\times 3^{2}$$