Solve 0.0156*150left(76.53*2*3.14right)^2/0.0462

$$\frac{ 0.0156 \times 150 { \left(76.53 \times 2 \times 3.14 \right) }^{ 2 } }{ 0.0462 }$$

Evaluate

$$\frac{56302455824199}{4812500}\approx 11699211.599833558$$

Solution Steps

Multiply 0.0156 and 150 to get 2.34.

$$\frac{2.34\times \left(76.53\times 2\times 3.14\right)^{2}}{0.0462}$$

Multiply 76.53 and 2 to get 153.06.

$$\frac{2.34\times \left(153.06\times 3.14\right)^{2}}{0.0462}$$

Multiply 153.06 and 3.14 to get 480.6084.

$$\frac{2.34\times 480.6084^{2}}{0.0462}$$

Calculate 480.6084 to the power of 2 and get 230984.43415056.

$$\frac{2.34\times 230984.43415056}{0.0462}$$

Multiply 2.34 and 230984.43415056 to get 540503.5759123104.

$$\frac{540503.5759123104}{0.0462}$$

Expand \frac{540503.5759123104}{0.0462} by multiplying both numerator and the denominator by 10000000000.

$$\frac{5405035759123104}{462000000}$$

Reduce the fraction \frac{5405035759123104}{462000000} to lowest terms by extracting and canceling out 96.

$$\frac{56302455824199}{4812500}$$

Factor

$$\frac{13 \cdot 3 ^ {3} \cdot 157 ^ {2} \cdot 2551 ^ {2}}{7 \cdot 11 \cdot 2 ^ {2} \cdot 5 ^ {6}} = 11699211\frac{2886699}{4812500} = 11699211.59983356$$