Solve 16.36/1.15+15.69/1.15^2

$$\frac{ 16.36 }{ 1.15 } + \frac{ 15.69 }{ { 1.15 }^{ 2 } }$$

Evaluate

$$\frac{69008}{2645}\approx 26.089981096$$

Solution Steps

Expand \frac{16.36}{1.15} by multiplying both numerator and the denominator by 100.

$$\frac{1636}{115}+\frac{15.69}{1.15^{2}}$$

Calculate 1.15 to the power of 2 and get 1.3225.

$$\frac{1636}{115}+\frac{15.69}{1.3225}$$

Expand \frac{15.69}{1.3225} by multiplying both numerator and the denominator by 10000.

$$\frac{1636}{115}+\frac{156900}{13225}$$

Reduce the fraction \frac{156900}{13225} to lowest terms by extracting and canceling out 25.

$$\frac{1636}{115}+\frac{6276}{529}$$

Least common multiple of 115 and 529 is 2645. Convert \frac{1636}{115} and \frac{6276}{529} to fractions with denominator 2645.

$$\frac{37628}{2645}+\frac{31380}{2645}$$

Since \frac{37628}{2645} and \frac{31380}{2645} have the same denominator, add them by adding their numerators.

$$\frac{37628+31380}{2645}$$

Add 37628 and 31380 to get 69008.

$$\frac{69008}{2645}$$

Factor

$$\frac{19 \cdot 227 \cdot 2 ^ {4}}{5 \cdot 23 ^ {2}} = 26\frac{238}{2645} = 26.089981096408316$$