Solve -(-5/4)^2-3/2*(-6/5)+(-1/5)^-1=

$$- ( - \frac { 5 } { 4 } ) ^ { 2 } - \frac { 3 } { 2 } \cdot ( - \frac { 6 } { 5 } ) + ( - \frac { 1 } { 5 } ) ^ { - 1 } =$$

Evaluate

$$-\frac{381}{80}=-4.7625$$

Solution Steps

Calculate -\frac{5}{4} to the power of 2 and get \frac{25}{16}.

$$-\frac{25}{16}-\frac{3}{2}\left(-\frac{6}{5}\right)+\left(-\frac{1}{5}\right)^{-1}$$

Multiply \frac{3}{2} and -\frac{6}{5} to get -\frac{9}{5}.

$$-\frac{25}{16}-\left(-\frac{9}{5}\right)+\left(-\frac{1}{5}\right)^{-1}$$

The opposite of -\frac{9}{5} is \frac{9}{5}.

$$-\frac{25}{16}+\frac{9}{5}+\left(-\frac{1}{5}\right)^{-1}$$

Add -\frac{25}{16} and \frac{9}{5} to get \frac{19}{80}.

$$\frac{19}{80}+\left(-\frac{1}{5}\right)^{-1}$$

Calculate -\frac{1}{5} to the power of -1 and get -5.

$$\frac{19}{80}-5$$

Subtract 5 from \frac{19}{80} to get -\frac{381}{80}.

$$-\frac{381}{80}$$

Factor

$$-\frac{381}{80} = -4\frac{61}{80} = -4.7625$$