Solve 352-5*9*8/4075-5*9^2

$$\frac{ 352-5 \times 9 \times 8 }{ 4075-5 \times { 9 }^{ 2 } }$$

Evaluate

$$-\frac{4}{1835}\approx -0.002179837$$

Solution Steps

Multiply 5 and 9 to get 45.

$$\frac{352-45\times 8}{4075-5\times 9^{2}}$$

Multiply 45 and 8 to get 360.

$$\frac{352-360}{4075-5\times 9^{2}}$$

Subtract 360 from 352 to get -8.

$$\frac{-8}{4075-5\times 9^{2}}$$

Calculate 9 to the power of 2 and get 81.

$$\frac{-8}{4075-5\times 81}$$

Multiply 5 and 81 to get 405.

$$\frac{-8}{4075-405}$$

Subtract 405 from 4075 to get 3670.

$$\frac{-8}{3670}$$

Reduce the fraction \frac{-8}{3670} to lowest terms by extracting and canceling out 2.

$$-\frac{4}{1835}$$

Factor

$$-\frac{4}{1835} = -0.0021798365122615805$$