Solve 86-10^-2/8600-10^-6

$$\frac { 86 - 10 ^ { - 2 } } { 8600 - 10 ^ { - 6 } }$$

Evaluate

$$\frac{85990000}{8599999999}\approx 0.009998837$$

Solution Steps

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{86-\frac{1}{100}}{8600-10^{-6}}$$

Subtract \frac{1}{100} from 86 to get \frac{8599}{100}.

$$\frac{\frac{8599}{100}}{8600-10^{-6}}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{\frac{8599}{100}}{8600-\frac{1}{1000000}}$$

Subtract \frac{1}{1000000} from 8600 to get \frac{8599999999}{1000000}.

$$\frac{\frac{8599}{100}}{\frac{8599999999}{1000000}}$$

Divide \frac{8599}{100} by \frac{8599999999}{1000000} by multiplying \frac{8599}{100} by the reciprocal of \frac{8599999999}{1000000}.

$$\frac{8599}{100}\times \frac{1000000}{8599999999}$$

Multiply \frac{8599}{100} and \frac{1000000}{8599999999} to get \frac{85990000}{8599999999}.

$$\frac{85990000}{8599999999}$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {4} \cdot 8599}{3593 \cdot 2393543} = 0.00999883721046498$$