Solve (2000*17.321)+(0.06*1154700.538/2)

$$(2000 \times 17.321)+(0.06 \times \frac{ 1154700.538 }{ 2 } )$$

Evaluate

$$69283.01614$$

Solution Steps

Multiply 2000 and 17.321 to get 34642.

$$34642+0.06\times \frac{1154700.538}{2}$$

Expand \frac{1154700.538}{2} by multiplying both numerator and the denominator by 1000.

$$34642+0.06\times \frac{1154700538}{2000}$$

Reduce the fraction \frac{1154700538}{2000} to lowest terms by extracting and canceling out 2.

$$34642+0.06\times \frac{577350269}{1000}$$

Convert decimal number 0.06 to fraction \frac{6}{100}. Reduce the fraction \frac{6}{100} to lowest terms by extracting and canceling out 2.

$$34642+\frac{3}{50}\times \frac{577350269}{1000}$$

Multiply \frac{3}{50} times \frac{577350269}{1000} by multiplying numerator times numerator and denominator times denominator.

$$34642+\frac{3\times 577350269}{50\times 1000}$$

Do the multiplications in the fraction \frac{3\times 577350269}{50\times 1000}.

$$34642+\frac{1732050807}{50000}$$

Convert 34642 to fraction \frac{1732100000}{50000}.

$$\frac{1732100000}{50000}+\frac{1732050807}{50000}$$

Since \frac{1732100000}{50000} and \frac{1732050807}{50000} have the same denominator, add them by adding their numerators.

$$\frac{1732100000+1732050807}{50000}$$

Add 1732100000 and 1732050807 to get 3464150807.

$$\frac{3464150807}{50000}$$

Factor

$$\frac{13 \cdot 199 \cdot 1339061}{2 ^ {4} \cdot 5 ^ {5}} = 69283\frac{807}{50000} = 69283.01614$$