Solve 3*10^-3*99/3-3*10^-3

$$\frac { 3 \times 10 ^ { - 3 } \times 99 } { 3 - 3 \times 10 ^ { - 3 } }$$

Evaluate

$$\frac{11}{111}\approx 0.099099099$$

Solution Steps

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{3\times \frac{1}{1000}\times 99}{3-3\times 10^{-3}}$$

Multiply 3 and \frac{1}{1000} to get \frac{3}{1000}.

$$\frac{\frac{3}{1000}\times 99}{3-3\times 10^{-3}}$$

Multiply \frac{3}{1000} and 99 to get \frac{297}{1000}.

$$\frac{\frac{297}{1000}}{3-3\times 10^{-3}}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{\frac{297}{1000}}{3-3\times \frac{1}{1000}}$$

Multiply 3 and \frac{1}{1000} to get \frac{3}{1000}.

$$\frac{\frac{297}{1000}}{3-\frac{3}{1000}}$$

Subtract \frac{3}{1000} from 3 to get \frac{2997}{1000}.

$$\frac{\frac{297}{1000}}{\frac{2997}{1000}}$$

Divide \frac{297}{1000} by \frac{2997}{1000} by multiplying \frac{297}{1000} by the reciprocal of \frac{2997}{1000}.

$$\frac{297}{1000}\times \frac{1000}{2997}$$

Multiply \frac{297}{1000} and \frac{1000}{2997} to get \frac{11}{111}.

$$\frac{11}{111}$$

Factor

$$\frac{11}{3 \cdot 37} = 0.0990990990990991$$