Solve (0.5007-014874)^2*1/2/0.5014-0.4874*(0.5007-0.4717)

$$\frac { ( 0.5007 - 014874 ) ^ { 2 } \times \frac { 1 } { 2 } } { 0.5014 - 0.4874 \times ( 0.5007 - 0.4717 ) }$$

Evaluate

$$\frac{2785561}{10828120}\approx 0.257252506$$

Solution Steps

Multiply 0 and 14874 to get 0.

$$\frac{\left(0.5007-0\right)^{2}\times \frac{1}{2}}{0.5014-0.4874\left(0.5007-0.4717\right)}$$

Subtract 0 from 0.5007 to get 0.5007.

$$\frac{0.5007^{2}\times \frac{1}{2}}{0.5014-0.4874\left(0.5007-0.4717\right)}$$

Calculate 0.5007 to the power of 2 and get 0.25070049.

$$\frac{0.25070049\times \frac{1}{2}}{0.5014-0.4874\left(0.5007-0.4717\right)}$$

Multiply 0.25070049 and \frac{1}{2} to get \frac{25070049}{200000000}.

$$\frac{\frac{25070049}{200000000}}{0.5014-0.4874\left(0.5007-0.4717\right)}$$

Subtract 0.4717 from 0.5007 to get 0.029.

$$\frac{\frac{25070049}{200000000}}{0.5014-0.4874\times 0.029}$$

Multiply 0.4874 and 0.029 to get 0.0141346.

$$\frac{\frac{25070049}{200000000}}{0.5014-0.0141346}$$

Subtract 0.0141346 from 0.5014 to get 0.4872654.

$$\frac{\frac{25070049}{200000000}}{0.4872654}$$

Express \frac{\frac{25070049}{200000000}}{0.4872654} as a single fraction.

$$\frac{25070049}{200000000\times 0.4872654}$$

Multiply 200000000 and 0.4872654 to get 97453080.

$$\frac{25070049}{97453080}$$

Reduce the fraction \frac{25070049}{97453080} to lowest terms by extracting and canceling out 9.

$$\frac{2785561}{10828120}$$

Factor

$$\frac{1669 ^ {2}}{5 \cdot 421 \cdot 643 \cdot 2 ^ {3}} = 0.25725250551342244$$