Solve 125/117^2+563/386^2

$$\frac { 125 } { 117 ^ { 2 } } + \frac { 563 } { 386 ^ { 2 } }$$

Evaluate

$$\frac{26331407}{2039606244}\approx 0.012910044$$

Solution Steps

Calculate 117 to the power of 2 and get 13689.

$$\frac{125}{13689}+\frac{563}{386^{2}}$$

Calculate 386 to the power of 2 and get 148996.

$$\frac{125}{13689}+\frac{563}{148996}$$

Least common multiple of 13689 and 148996 is 2039606244. Convert \frac{125}{13689} and \frac{563}{148996} to fractions with denominator 2039606244.

$$\frac{18624500}{2039606244}+\frac{7706907}{2039606244}$$

Since \frac{18624500}{2039606244} and \frac{7706907}{2039606244} have the same denominator, add them by adding their numerators.

$$\frac{18624500+7706907}{2039606244}$$

Add 18624500 and 7706907 to get 26331407.

$$\frac{26331407}{2039606244}$$

Factor

$$\frac{53 \cdot 101 \cdot 4919}{2 ^ {2} \cdot 3 ^ {4} \cdot 13 ^ {2} \cdot 193 ^ {2}} = 0.012910044317357953$$