Solve 20*8.5div28.5*15*10^-6

$$20 \times 8.5 \div 28.5 \times 15 \times { 10 }^{ -6 }$$

Evaluate

$$\frac{17}{190000}\approx 0.000089474$$

Solution Steps

Multiply 20 and 8.5 to get 170.

$$\frac{170}{28.5}\times 15\times 10^{-6}$$

Expand \frac{170}{28.5} by multiplying both numerator and the denominator by 10.

$$\frac{1700}{285}\times 15\times 10^{-6}$$

Reduce the fraction \frac{1700}{285} to lowest terms by extracting and canceling out 5.

$$\frac{340}{57}\times 15\times 10^{-6}$$

Multiply \frac{340}{57} and 15 to get \frac{1700}{19}.

$$\frac{1700}{19}\times 10^{-6}$$

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

$$\frac{1700}{19}\times \frac{1}{1000000}$$

Multiply \frac{1700}{19} and \frac{1}{1000000} to get \frac{17}{190000}.

$$\frac{17}{190000}$$

Factor

$$\frac{17}{19 \cdot 2 ^ {4} \cdot 5 ^ {4}} = 8.947368421052632 \times 10^{-5}$$