Solve 352-5*9*8/407.5-5*9^2

$$\frac{ 352-5 \times 9 \times 8 }{ 407.5-5 \times { 9 }^{ 2 } }$$

Evaluate

$$-3.2$$

Solution Steps

Multiply 5 and 9 to get 45.

$$\frac{352-45\times 8}{407.5-5\times 9^{2}}$$

Multiply 45 and 8 to get 360.

$$\frac{352-360}{407.5-5\times 9^{2}}$$

Subtract 360 from 352 to get -8.

$$\frac{-8}{407.5-5\times 9^{2}}$$

Calculate 9 to the power of 2 and get 81.

$$\frac{-8}{407.5-5\times 81}$$

Multiply 5 and 81 to get 405.

$$\frac{-8}{407.5-405}$$

Subtract 405 from 407.5 to get 2.5.

$$\frac{-8}{2.5}$$

Expand \frac{-8}{2.5} by multiplying both numerator and the denominator by 10.

$$\frac{-80}{25}$$

Reduce the fraction \frac{-80}{25} to lowest terms by extracting and canceling out 5.

$$-\frac{16}{5}$$

Factor

$$-3.2$$