Solve 4*12.35/3.14*2.047^2*6.009

$$\frac{ 4 \times 12.35 }{ 3.14 \times { 2.047 }^{ 2 } \times 6.009 }$$

Evaluate

$$\frac{2470000000000}{3953097643317}\approx 0.624826458$$

Solution Steps

Multiply 4 and 12.35 to get 49.4.

$$\frac{49.4}{3.14\times 2.047^{2}\times 6.009}$$

Calculate 2.047 to the power of 2 and get 4.190209.

$$\frac{49.4}{3.14\times 4.190209\times 6.009}$$

Multiply 3.14 and 4.190209 to get 13.15725626.

$$\frac{49.4}{13.15725626\times 6.009}$$

Multiply 13.15725626 and 6.009 to get 79.06195286634.

$$\frac{49.4}{79.06195286634}$$

Expand \frac{49.4}{79.06195286634} by multiplying both numerator and the denominator by 100000000000.

$$\frac{4940000000000}{7906195286634}$$

Reduce the fraction \frac{4940000000000}{7906195286634} to lowest terms by extracting and canceling out 2.

$$\frac{2470000000000}{3953097643317}$$

Factor

$$\frac{13 \cdot 19 \cdot 2 ^ {10} \cdot 5 ^ {10}}{3 \cdot 157 \cdot 2003 \cdot 23 ^ {2} \cdot 89 ^ {2}} = 0.6248264583536699$$