Solve (0.65*47/360-1/18)div1/24

$$( \frac{ 0.65 \cdot 47 }{ 360 } - \frac{ 1 }{ 18 } ) \div \frac{ 1 }{ 24 }$$

Evaluate

$$\frac{211}{300}\approx 0.703333333$$

Solution Steps

Multiply 0.65 and 47 to get 30.55.

$$\frac{\frac{30.55}{360}-\frac{1}{18}}{\frac{1}{24}}$$

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

$$\frac{\frac{3055}{36000}-\frac{1}{18}}{\frac{1}{24}}$$

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

$$\frac{\frac{611}{7200}-\frac{1}{18}}{\frac{1}{24}}$$

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

$$\frac{\frac{611}{7200}-\frac{400}{7200}}{\frac{1}{24}}$$

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

$$\frac{\frac{611-400}{7200}}{\frac{1}{24}}$$

Subtract 400 from 611 to get 211.

$$\frac{\frac{211}{7200}}{\frac{1}{24}}$$

Divide \frac{211}{7200} by \frac{1}{24} by multiplying \frac{211}{7200} by the reciprocal of \frac{1}{24}.

$$\frac{211}{7200}\times 24$$

Express \frac{211}{7200}\times 24 as a single fraction.

$$\frac{211\times 24}{7200}$$

Multiply 211 and 24 to get 5064.

$$\frac{5064}{7200}$$

Reduce the fraction \frac{5064}{7200} to lowest terms by extracting and canceling out 24.

$$\frac{211}{300}$$

Factor

$$\frac{211}{3 \cdot 2 ^ {2} \cdot 5 ^ {2}} = 0.7033333333333334$$