Solve 1+1/1.47^2

$$1+ \frac{ 1 }{ { 1.47 }^{ 2 } }$$

Evaluate

$$\frac{31609}{21609}\approx 1.462770142$$

Solution Steps

Calculate 1.47 to the power of 2 and get 2.1609.

$$1+\frac{1}{2.1609}$$

Expand \frac{1}{2.1609} by multiplying both numerator and the denominator by 10000.

$$1+\frac{10000}{21609}$$

Convert 1 to fraction \frac{21609}{21609}.

$$\frac{21609}{21609}+\frac{10000}{21609}$$

Since \frac{21609}{21609} and \frac{10000}{21609} have the same denominator, add them by adding their numerators.

$$\frac{21609+10000}{21609}$$

Add 21609 and 10000 to get 31609.

$$\frac{31609}{21609}$$

Factor

$$\frac{73 \cdot 433}{3 ^ {2} \cdot 7 ^ {4}} = 1\frac{10000}{21609} = 1.4627701420704335$$