Solve 1.25/1.17^2+5.63/3.86^2

$$\frac { 1.25 } { 1.17 ^ { 2 } } + \frac { 5.63 } { 3.86 ^ { 2 } }$$

Evaluate

$$\frac{658285175}{509901561}\approx 1.291004432$$

Solution Steps

Calculate 1.17 to the power of 2 and get 1.3689.

$$\frac{1.25}{1.3689}+\frac{5.63}{3.86^{2}}$$

Expand \frac{1.25}{1.3689} by multiplying both numerator and the denominator by 10000.

$$\frac{12500}{13689}+\frac{5.63}{3.86^{2}}$$

Calculate 3.86 to the power of 2 and get 14.8996.

$$\frac{12500}{13689}+\frac{5.63}{14.8996}$$

Expand \frac{5.63}{14.8996} by multiplying both numerator and the denominator by 10000.

$$\frac{12500}{13689}+\frac{56300}{148996}$$

Reduce the fraction \frac{56300}{148996} to lowest terms by extracting and canceling out 4.

$$\frac{12500}{13689}+\frac{14075}{37249}$$

Least common multiple of 13689 and 37249 is 509901561. Convert \frac{12500}{13689} and \frac{14075}{37249} to fractions with denominator 509901561.

$$\frac{465612500}{509901561}+\frac{192672675}{509901561}$$

Since \frac{465612500}{509901561} and \frac{192672675}{509901561} have the same denominator, add them by adding their numerators.

$$\frac{465612500+192672675}{509901561}$$

Add 465612500 and 192672675 to get 658285175.

$$\frac{658285175}{509901561}$$

Factor

$$\frac{53 \cdot 101 \cdot 4919 \cdot 5 ^ {2}}{3 ^ {4} \cdot 13 ^ {2} \cdot 193 ^ {2}} = 1\frac{148383614}{509901561} = 1.2910044317357954$$