Solve 18000*0.5*12/frac{1{12}3.5*14.546^2}

$$\frac{ 18000 \cdot 0.5 \cdot 12 }{ \frac{ 1 }{ 12 } 3.5 \times { 14.546 }^{ 2 } }$$

Evaluate

$$\frac{648000000000}{370275703}\approx 1750.047315419$$

Solution Steps

Multiply 18000 and 0.5 to get 9000.

$$\frac{9000\times 12}{\frac{1}{12}\times 3.5\times 14.546^{2}}$$

Multiply 9000 and 12 to get 108000.

$$\frac{108000}{\frac{1}{12}\times 3.5\times 14.546^{2}}$$

Convert decimal number 3.5 to fraction \frac{35}{10}. Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$\frac{108000}{\frac{1}{12}\times \frac{7}{2}\times 14.546^{2}}$$

Multiply \frac{1}{12} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{108000}{\frac{1\times 7}{12\times 2}\times 14.546^{2}}$$

Do the multiplications in the fraction \frac{1\times 7}{12\times 2}.

$$\frac{108000}{\frac{7}{24}\times 14.546^{2}}$$

Calculate 14.546 to the power of 2 and get 211.586116.

$$\frac{108000}{\frac{7}{24}\times 211.586116}$$

Convert decimal number 211.586116 to fraction \frac{211586116}{1000000}. Reduce the fraction \frac{211586116}{1000000} to lowest terms by extracting and canceling out 4.

$$\frac{108000}{\frac{7}{24}\times \frac{52896529}{250000}}$$

Multiply \frac{7}{24} times \frac{52896529}{250000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{108000}{\frac{7\times 52896529}{24\times 250000}}$$

Do the multiplications in the fraction \frac{7\times 52896529}{24\times 250000}.

$$\frac{108000}{\frac{370275703}{6000000}}$$

Divide 108000 by \frac{370275703}{6000000} by multiplying 108000 by the reciprocal of \frac{370275703}{6000000}.

$$108000\times \frac{6000000}{370275703}$$

Express 108000\times \frac{6000000}{370275703} as a single fraction.

$$\frac{108000\times 6000000}{370275703}$$

Multiply 108000 and 6000000 to get 648000000000.

$$\frac{648000000000}{370275703}$$

Factor

$$\frac{2 ^ {12} \cdot 3 ^ {4} \cdot 5 ^ {9}}{7 ^ {3} \cdot 1039 ^ {2}} = 1750\frac{17519750}{370275703} = 1750.047315418911$$