Solve 5.6-3.8/(84-18)*10^-3=

$$\frac { 5.6 - 3.8 } { ( 84 - 18 ) \times 10 ^ { - 3 } } =$$

Evaluate

$$\frac{300}{11}\approx 27.272727273$$

Solution Steps

Subtract 3.8 from 5.6 to get 1.8.

$$\frac{1.8}{\left(84-18\right)\times 10^{-3}}$$

Subtract 18 from 84 to get 66.

$$\frac{1.8}{66\times 10^{-3}}$$

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

$$\frac{1.8}{66\times \frac{1}{1000}}$$

Multiply 66 and \frac{1}{1000} to get \frac{33}{500}.

$$\frac{1.8}{\frac{33}{500}}$$

Divide 1.8 by \frac{33}{500} by multiplying 1.8 by the reciprocal of \frac{33}{500}.

$$1.8\times \frac{500}{33}$$

Multiply 1.8 and \frac{500}{33} to get \frac{300}{11}.

$$\frac{300}{11}$$

Factor

$$\frac{3 \cdot 2 ^ {2} \cdot 5 ^ {2}}{11} = 27\frac{3}{11} = 27.272727272727273$$