Solve 130/13^2+33/13^2

$$\frac { 130 } { 13 ^ { 2 } } + \frac { 33 } { 13 ^ { 2 } }$$

Evaluate

$$\frac{163}{169}\approx 0.964497041$$

Solution Steps

Calculate 13 to the power of 2 and get 169.

$$\frac{130}{169}+\frac{33}{13^{2}}$$

Reduce the fraction \frac{130}{169} to lowest terms by extracting and canceling out 13.

$$\frac{10}{13}+\frac{33}{13^{2}}$$

Calculate 13 to the power of 2 and get 169.

$$\frac{10}{13}+\frac{33}{169}$$

Least common multiple of 13 and 169 is 169. Convert \frac{10}{13} and \frac{33}{169} to fractions with denominator 169.

$$\frac{130}{169}+\frac{33}{169}$$

Since \frac{130}{169} and \frac{33}{169} have the same denominator, add them by adding their numerators.

$$\frac{130+33}{169}$$

Add 130 and 33 to get 163.

$$\frac{163}{169}$$

Factor

$$\frac{163}{13 ^ {2}} = 0.9644970414201184$$