Solve 360div47*47/360-1/18/frac{1{24}}60

$$\frac{ \frac{ 360 \div 47 \cdot 47 }{ 360 } - \frac{ 1 }{ 18 } }{ \frac{ 1 }{ 24 } } 60$$

Evaluate

$$1360$$

Solution Steps

Cancel out 47 and 47.

$$\frac{\frac{360}{360}-\frac{1}{18}}{\frac{1}{24}}\times 60$$

Divide 360 by 360 to get 1.

$$\frac{1-\frac{1}{18}}{\frac{1}{24}}\times 60$$

Convert 1 to fraction \frac{18}{18}.

$$\frac{\frac{18}{18}-\frac{1}{18}}{\frac{1}{24}}\times 60$$

Since \frac{18}{18} and \frac{1}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{18-1}{18}}{\frac{1}{24}}\times 60$$

Subtract 1 from 18 to get 17.

$$\frac{\frac{17}{18}}{\frac{1}{24}}\times 60$$

Divide \frac{17}{18} by \frac{1}{24} by multiplying \frac{17}{18} by the reciprocal of \frac{1}{24}.

$$\frac{17}{18}\times 24\times 60$$

Express \frac{17}{18}\times 24 as a single fraction.

$$\frac{17\times 24}{18}\times 60$$

Multiply 17 and 24 to get 408.

$$\frac{408}{18}\times 60$$

Reduce the fraction \frac{408}{18} to lowest terms by extracting and canceling out 6.

$$\frac{68}{3}\times 60$$

Express \frac{68}{3}\times 60 as a single fraction.

$$\frac{68\times 60}{3}$$

Multiply 68 and 60 to get 4080.

$$\frac{4080}{3}$$

Divide 4080 by 3 to get 1360.

$$1360$$

Factor

$$2^{4}\times 5\times 17$$