Solve 0.683*375*1000/100.8876.66^2

$$\frac{ 0.683 \cdot 375 \cdot 1000 }{ 100.88 { 76.66 }^{ 2 } }$$

Evaluate

$$\frac{8003906250}{18526472029}\approx 0.432025387$$

Solution Steps

Multiply 0.683 and 375 to get 256.125.

$$\frac{256.125\times 1000}{100.88\times 76.66^{2}}$$

Multiply 256.125 and 1000 to get 256125.

$$\frac{256125}{100.88\times 76.66^{2}}$$

Calculate 76.66 to the power of 2 and get 5876.7556.

$$\frac{256125}{100.88\times 5876.7556}$$

Multiply 100.88 and 5876.7556 to get 592847.104928.

$$\frac{256125}{592847.104928}$$

Expand \frac{256125}{592847.104928} by multiplying both numerator and the denominator by 1000000.

$$\frac{256125000000}{592847104928}$$

Reduce the fraction \frac{256125000000}{592847104928} to lowest terms by extracting and canceling out 32.

$$\frac{8003906250}{18526472029}$$

Factor

$$\frac{2 \cdot 3 \cdot 683 \cdot 5 ^ {9}}{13 \cdot 97 \cdot 3833 ^ {2}} = 0.43202538710399174$$