Solve 5-0.33/(4-0.01*8)*10^-3=

$$\frac { 5 - 0.33 } { ( 4 - 0.01 \times 8 ) \times 10 ^ { - 3 } } =$$

Evaluate

$$\frac{58375}{49}\approx 1191.326530612$$

Solution Steps

Subtract 0.33 from 5 to get 4.67.

$$\frac{4.67}{\left(4-0.01\times 8\right)\times 10^{-3}}$$

Multiply 0.01 and 8 to get 0.08.

$$\frac{4.67}{\left(4-0.08\right)\times 10^{-3}}$$

Subtract 0.08 from 4 to get 3.92.

$$\frac{4.67}{3.92\times 10^{-3}}$$

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

$$\frac{4.67}{3.92\times \frac{1}{1000}}$$

Multiply 3.92 and \frac{1}{1000} to get \frac{49}{12500}.

$$\frac{4.67}{\frac{49}{12500}}$$

Divide 4.67 by \frac{49}{12500} by multiplying 4.67 by the reciprocal of \frac{49}{12500}.

$$4.67\times \frac{12500}{49}$$

Multiply 4.67 and \frac{12500}{49} to get \frac{58375}{49}.

$$\frac{58375}{49}$$

Factor

$$\frac{467 \cdot 5 ^ {3}}{7 ^ {2}} = 1191\frac{16}{49} = 1191.3265306122448$$