Solve {(-4-5)div(-3/5)^2+7}*5/9

$$\{ ( - 4 - 5 ) \div ( - \frac { 3 } { 5 } ) ^ { 2 } + 7 \} \times \frac { 5 } { 9 }$$

Evaluate

$$-10$$

Solution Steps

Subtract 5 from -4 to get -9.

$$\left(\frac{-9}{\left(-\frac{3}{5}\right)^{2}}+7\right)\times \frac{5}{9}$$

Calculate -\frac{3}{5} to the power of 2 and get \frac{9}{25}.

$$\left(\frac{-9}{\frac{9}{25}}+7\right)\times \frac{5}{9}$$

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

$$\left(-9\times \frac{25}{9}+7\right)\times \frac{5}{9}$$

Multiply -9 times \frac{25}{9}.

$$\left(-25+7\right)\times \frac{5}{9}$$

Add -25 and 7 to get -18.

$$-18\times \frac{5}{9}$$

Express -18\times \frac{5}{9} as a single fraction.

$$\frac{-18\times 5}{9}$$

Multiply -18 and 5 to get -90.

$$\frac{-90}{9}$$

Divide -90 by 9 to get -10.

$$-10$$

Factor

$$-10$$