Solve E(s_{1})=[0.6025*1.012/1.03]*1.01

$$E ( s _ { 1 } ) = [ 0.6025 \times \frac { 1.012 } { 1.03 } ] \times 1.01$$

Evaluate

$$\frac{6158273}{10300000}\approx 0.597890583$$

Solution Steps

Expand \frac{1.012}{1.03} by multiplying both numerator and the denominator by 1000.

$$0.6025\times \frac{1012}{1030}\times 1.01$$

Reduce the fraction \frac{1012}{1030} to lowest terms by extracting and canceling out 2.

$$0.6025\times \frac{506}{515}\times 1.01$$

Convert decimal number 0.6025 to fraction \frac{6025}{10000}. Reduce the fraction \frac{6025}{10000} to lowest terms by extracting and canceling out 25.

$$\frac{241}{400}\times \frac{506}{515}\times 1.01$$

Multiply \frac{241}{400} times \frac{506}{515} by multiplying numerator times numerator and denominator times denominator.

$$\frac{241\times 506}{400\times 515}\times 1.01$$

Do the multiplications in the fraction \frac{241\times 506}{400\times 515}.

$$\frac{121946}{206000}\times 1.01$$

Reduce the fraction \frac{121946}{206000} to lowest terms by extracting and canceling out 2.

$$\frac{60973}{103000}\times 1.01$$

Convert decimal number 1.01 to fraction \frac{101}{100}.

$$\frac{60973}{103000}\times \frac{101}{100}$$

Multiply \frac{60973}{103000} times \frac{101}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{60973\times 101}{103000\times 100}$$

Do the multiplications in the fraction \frac{60973\times 101}{103000\times 100}.

$$\frac{6158273}{10300000}$$

Factor

$$\frac{11 \cdot 23 \cdot 101 \cdot 241}{103 \cdot 2 ^ {5} \cdot 5 ^ {5}} = 0.5978905825242719$$