Solve 3*0.013*104.66^2/2

$$3 \times 0.013 \times \frac{ { 104.66 }^{ 2 } }{ 2 }$$

Evaluate

$$213.5974542$$

Solution Steps

Multiply 3 and 0.013 to get 0.039.

$$0.039\times \frac{104.66^{2}}{2}$$

Calculate 104.66 to the power of 2 and get 10953.7156.

$$0.039\times \frac{10953.7156}{2}$$

Expand \frac{10953.7156}{2} by multiplying both numerator and the denominator by 10000.

$$0.039\times \frac{109537156}{20000}$$

Reduce the fraction \frac{109537156}{20000} to lowest terms by extracting and canceling out 4.

$$0.039\times \frac{27384289}{5000}$$

Convert decimal number 0.039 to fraction \frac{39}{1000}.

$$\frac{39}{1000}\times \frac{27384289}{5000}$$

Multiply \frac{39}{1000} times \frac{27384289}{5000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{39\times 27384289}{1000\times 5000}$$

Do the multiplications in the fraction \frac{39\times 27384289}{1000\times 5000}.

$$\frac{1067987271}{5000000}$$

Factor

$$\frac{3 \cdot 13 \cdot 5233 ^ {2}}{2 ^ {6} \cdot 5 ^ {7}} = 213\frac{2987271}{5000000} = 213.5974542$$