Solve 0.65*47/360-1/18

$$\frac{ 0.65 \cdot 47 }{ 360 } - \frac{ 1 }{ 18 }$$

Evaluate

$$\frac{211}{7200}\approx 0.029305556$$

Solution Steps

Multiply 0.65 and 47 to get 30.55.

$$\frac{30.55}{360}-\frac{1}{18}$$

Expand \frac{30.55}{360} by multiplying both numerator and the denominator by 100.

$$\frac{3055}{36000}-\frac{1}{18}$$

Reduce the fraction \frac{3055}{36000} to lowest terms by extracting and canceling out 5.

$$\frac{611}{7200}-\frac{1}{18}$$

Least common multiple of 7200 and 18 is 7200. Convert \frac{611}{7200} and \frac{1}{18} to fractions with denominator 7200.

$$\frac{611}{7200}-\frac{400}{7200}$$

Since \frac{611}{7200} and \frac{400}{7200} have the same denominator, subtract them by subtracting their numerators.

$$\frac{611-400}{7200}$$

Subtract 400 from 611 to get 211.

$$\frac{211}{7200}$$

Factor

$$\frac{211}{2 ^ {5} \cdot 3 ^ {2} \cdot 5 ^ {2}} = 0.029305555555555557$$