Solve 33div12div5280*3.14159*60

$$33 \div 12 \div 5280 \times 3.14159 \times 60$$

Evaluate

$$0.0981746875$$

Solution Steps

Express \frac{\frac{33}{12}}{5280} as a single fraction.

$$\frac{33}{12\times 5280}\times 3.14159\times 60$$

Multiply 12 and 5280 to get 63360.

$$\frac{33}{63360}\times 3.14159\times 60$$

Reduce the fraction \frac{33}{63360} to lowest terms by extracting and canceling out 33.

$$\frac{1}{1920}\times 3.14159\times 60$$

Convert decimal number 3.14159 to fraction \frac{314159}{100000}.

$$\frac{1}{1920}\times \frac{314159}{100000}\times 60$$

Multiply \frac{1}{1920} times \frac{314159}{100000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 314159}{1920\times 100000}\times 60$$

Do the multiplications in the fraction \frac{1\times 314159}{1920\times 100000}.

$$\frac{314159}{192000000}\times 60$$

Express \frac{314159}{192000000}\times 60 as a single fraction.

$$\frac{314159\times 60}{192000000}$$

Multiply 314159 and 60 to get 18849540.

$$\frac{18849540}{192000000}$$

Reduce the fraction \frac{18849540}{192000000} to lowest terms by extracting and canceling out 60.

$$\frac{314159}{3200000}$$

Factor

$$\frac{314159}{2 ^ {10} \cdot 5 ^ {5}} = 0.0981746875$$