Solve 8-854*10^-12*400/0.2

$$\frac { 8 - 854 \times 10 ^ { - 12 } \times 400 } { 0.2 }$$

Evaluate

$$39.999998292$$

Solution Steps

Calculate 10 to the power of -12 and get \frac{1}{1000000000000}.

$$\frac{8-854\times \frac{1}{1000000000000}\times 400}{0.2}$$

Multiply 854 and \frac{1}{1000000000000} to get \frac{427}{500000000000}.

$$\frac{8-\frac{427}{500000000000}\times 400}{0.2}$$

Multiply \frac{427}{500000000000} and 400 to get \frac{427}{1250000000}.

$$\frac{8-\frac{427}{1250000000}}{0.2}$$

Subtract \frac{427}{1250000000} from 8 to get \frac{9999999573}{1250000000}.

$$\frac{\frac{9999999573}{1250000000}}{0.2}$$

Express \frac{\frac{9999999573}{1250000000}}{0.2} as a single fraction.

$$\frac{9999999573}{1250000000\times 0.2}$$

Multiply 1250000000 and 0.2 to get 250000000.

$$\frac{9999999573}{250000000}$$

Factor

$$\frac{3 \cdot 17 \cdot 19 \cdot 10319917}{2 ^ {7} \cdot 5 ^ {9}} = 39\frac{249999573}{250000000} = 39.999998292$$