Solve 13/5^+1/52

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

Evaluate

$$\frac{681}{260}\approx 2.619230769$$

Solution Steps

Calculate 5 to the power of 1 and get 5.

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

Least common multiple of 5 and 52 is 260. Convert \frac{13}{5} and \frac{1}{52} to fractions with denominator 260.

$$\frac{676}{260}+\frac{5}{260}$$

Since \frac{676}{260} and \frac{5}{260} have the same denominator, add them by adding their numerators.

$$\frac{676+5}{260}$$

Add 676 and 5 to get 681.

$$\frac{681}{260}$$

Factor

$$\frac{3 \cdot 227}{2 ^ {2} \cdot 5 \cdot 13} = 2\frac{161}{260} = 2.6192307692307693$$