Solve (2.72/170-0.2*20*10^-3)*10*150.5

$$( \frac { 2.72 } { 170 } - 0.2 \times 20 \times 10 ^ { - 3 } ) \times 10 \times 150.5$$

Evaluate

$$18.06$$

Solution Steps

Expand \frac{2.72}{170} by multiplying both numerator and the denominator by 100.

$$\left(\frac{272}{17000}-0.2\times 20\times 10^{-3}\right)\times 10\times 150.5$$

Reduce the fraction \frac{272}{17000} to lowest terms by extracting and canceling out 136.

$$\left(\frac{2}{125}-0.2\times 20\times 10^{-3}\right)\times 10\times 150.5$$

Multiply 0.2 and 20 to get 4.

$$\left(\frac{2}{125}-4\times 10^{-3}\right)\times 10\times 150.5$$

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

$$\left(\frac{2}{125}-4\times \frac{1}{1000}\right)\times 10\times 150.5$$

Multiply 4 and \frac{1}{1000} to get \frac{1}{250}.

$$\left(\frac{2}{125}-\frac{1}{250}\right)\times 10\times 150.5$$

Subtract \frac{1}{250} from \frac{2}{125} to get \frac{3}{250}.

$$\frac{3}{250}\times 10\times 150.5$$

Multiply \frac{3}{250} and 10 to get \frac{3}{25}.

$$\frac{3}{25}\times 150.5$$

Multiply \frac{3}{25} and 150.5 to get \frac{903}{50}.

$$\frac{903}{50}$$

Factor

$$\frac{3 \cdot 7 \cdot 43}{2 \cdot 5 ^ {2}} = 18\frac{3}{50} = 18.06$$