Solve 3/2{-frac{9/25}}

$$\frac{ 3 }{ \frac{ 2 }{ - \frac{ 9 }{ 25 } } }$$

Evaluate

$$-\frac{27}{50}=-0.54$$

Solution Steps

Divide 3 by \frac{2}{-\frac{9}{25}} by multiplying 3 by the reciprocal of \frac{2}{-\frac{9}{25}}.

$$\frac{3\left(-\frac{9}{25}\right)}{2}$$

Express 3\left(-\frac{9}{25}\right) as a single fraction.

$$\frac{\frac{3\left(-9\right)}{25}}{2}$$

Multiply 3 and -9 to get -27.

$$\frac{\frac{-27}{25}}{2}$$

Fraction \frac{-27}{25} can be rewritten as -\frac{27}{25} by extracting the negative sign.

$$\frac{-\frac{27}{25}}{2}$$

Express \frac{-\frac{27}{25}}{2} as a single fraction.

$$\frac{-27}{25\times 2}$$

Multiply 25 and 2 to get 50.

$$\frac{-27}{50}$$

Fraction \frac{-27}{50} can be rewritten as -\frac{27}{50} by extracting the negative sign.

$$-\frac{27}{50}$$

Factor

$$-\frac{27}{50} = -0.54$$