Solve 62-5*1.8*7.4/16.6-5*1.8^2

$$\frac { 62 - 5 \times 1.8 \times 7.4 } { 16.6 - 5 \times 1.8 ^ { 2 } }$$

Evaluate

$$-11.5$$

Solution Steps

Multiply 5 and 1.8 to get 9.

$$\frac{62-9\times 7.4}{16.6-5\times 1.8^{2}}$$

Multiply 9 and 7.4 to get 66.6.

$$\frac{62-66.6}{16.6-5\times 1.8^{2}}$$

Subtract 66.6 from 62 to get -4.6.

$$\frac{-4.6}{16.6-5\times 1.8^{2}}$$

Calculate 1.8 to the power of 2 and get 3.24.

$$\frac{-4.6}{16.6-5\times 3.24}$$

Multiply 5 and 3.24 to get 16.2.

$$\frac{-4.6}{16.6-16.2}$$

Subtract 16.2 from 16.6 to get 0.4.

$$\frac{-4.6}{0.4}$$

Expand \frac{-4.6}{0.4} by multiplying both numerator and the denominator by 10.

$$\frac{-46}{4}$$

Reduce the fraction \frac{-46}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{23}{2}$$

Factor

$$-11.5$$