Solve 13/5^2+1/52

$$\frac { 13 } { 5 ^ { 2 } } + \frac { 1 } { 52 }$$

Evaluate

$$\frac{701}{1300}\approx 0.539230769$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\frac{13}{25}+\frac{1}{52}$$

Least common multiple of 25 and 52 is 1300. Convert \frac{13}{25} and \frac{1}{52} to fractions with denominator 1300.

$$\frac{676}{1300}+\frac{25}{1300}$$

Since \frac{676}{1300} and \frac{25}{1300} have the same denominator, add them by adding their numerators.

$$\frac{676+25}{1300}$$

Add 676 and 25 to get 701.

$$\frac{701}{1300}$$

Factor

$$\frac{701}{2 ^ {2} \cdot 5 ^ {2} \cdot 13} = 0.5392307692307692$$