Solve 55*10^2/0,1*10^6-15*10^-3

$$\frac { 55 \times 10 ^ { 2 } } { 0,1 \times 10 ^ { 6 } } - 15 \times 10 ^ { - 3 }$$

Evaluate

$$0,04$$

Solution Steps

Cancel out 10^{2} in both numerator and denominator.

$$\frac{55}{0,1\times 10^{4}}-15\times 10^{-3}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{55}{0,1\times 10000}-15\times 10^{-3}$$

Multiply 0,1 and 10000 to get 1000.

$$\frac{55}{1000}-15\times 10^{-3}$$

Reduce the fraction \frac{55}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{11}{200}-15\times 10^{-3}$$

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

$$\frac{11}{200}-15\times \frac{1}{1000}$$

Multiply 15 and \frac{1}{1000} to get \frac{3}{200}.

$$\frac{11}{200}-\frac{3}{200}$$

Subtract \frac{3}{200} from \frac{11}{200} to get \frac{1}{25}.

$$\frac{1}{25}$$

Factor

$$\frac{1}{5 ^ {2}} = 0.04$$