Solve -0.4^2-16/5.4(-0.4-4)

$$\frac { - 0.4 ^ { 2 } - 16 } { 5.4 ( - 0.4 - 4 ) }$$

Evaluate

$$\frac{202}{297}\approx 0.68013468$$

Solution Steps

Calculate 0.4 to the power of 2 and get 0.16.

$$\frac{-0.16-16}{5.4\left(-0.4-4\right)}$$

Subtract 16 from -0.16 to get -16.16.

$$\frac{-16.16}{5.4\left(-0.4-4\right)}$$

Subtract 4 from -0.4 to get -4.4.

$$\frac{-16.16}{5.4\left(-4.4\right)}$$

Multiply 5.4 and -4.4 to get -23.76.

$$\frac{-16.16}{-23.76}$$

Expand \frac{-16.16}{-23.76} by multiplying both numerator and the denominator by 100.

$$\frac{-1616}{-2376}$$

Reduce the fraction \frac{-1616}{-2376} to lowest terms by extracting and canceling out -8.

$$\frac{202}{297}$$

Factor

$$\frac{2 \cdot 101}{11 \cdot 3 ^ {3}} = 0.6801346801346801$$