Solve (1/2*1000*20^2)*1/4.185

$$( \frac{ 1 }{ 2 } \times 1000 \times { 20 }^{ 2 } ) \times \frac{ 1 }{ 4.185 }$$

Evaluate

$$\frac{40000000}{837}\approx 47789.72520908$$

Solution Steps

Multiply \frac{1}{2} and 1000 to get \frac{1000}{2}.

$$\frac{1000}{2}\times 20^{2}\times \frac{1}{4.185}$$

Divide 1000 by 2 to get 500.

$$500\times 20^{2}\times \frac{1}{4.185}$$

Calculate 20 to the power of 2 and get 400.

$$500\times 400\times \frac{1}{4.185}$$

Multiply 500 and 400 to get 200000.

$$200000\times \frac{1}{4.185}$$

Expand \frac{1}{4.185} by multiplying both numerator and the denominator by 1000.

$$200000\times \frac{1000}{4185}$$

Reduce the fraction \frac{1000}{4185} to lowest terms by extracting and canceling out 5.

$$200000\times \frac{200}{837}$$

Express 200000\times \frac{200}{837} as a single fraction.

$$\frac{200000\times 200}{837}$$

Multiply 200000 and 200 to get 40000000.

$$\frac{40000000}{837}$$

Factor

$$\frac{2 ^ {9} \cdot 5 ^ {7}}{31 \cdot 3 ^ {3}} = 47789\frac{607}{837} = 47789.72520908005$$