Solve 100div(33div325*60)

$$100 \div (33 \div 325 \times 60)$$

Evaluate

$$\frac{1625}{99}\approx 16.414141414$$

Solution Steps

Express \frac{33}{325}\times 60 as a single fraction.

$$\frac{100}{\frac{33\times 60}{325}}$$

Multiply 33 and 60 to get 1980.

$$\frac{100}{\frac{1980}{325}}$$

Reduce the fraction \frac{1980}{325} to lowest terms by extracting and canceling out 5.

$$\frac{100}{\frac{396}{65}}$$

Divide 100 by \frac{396}{65} by multiplying 100 by the reciprocal of \frac{396}{65}.

$$100\times \frac{65}{396}$$

Express 100\times \frac{65}{396} as a single fraction.

$$\frac{100\times 65}{396}$$

Multiply 100 and 65 to get 6500.

$$\frac{6500}{396}$$

Reduce the fraction \frac{6500}{396} to lowest terms by extracting and canceling out 4.

$$\frac{1625}{99}$$

Factor

$$\frac{5 ^ {3} \cdot 13}{3 ^ {2} \cdot 11} = 16\frac{41}{99} = 16.414141414141415$$