Solve 1+1/2+1/13

$$1 + \frac { 1 } { 2 } + \frac { 1 } { 13 }$$

Evaluate

$$\frac{41}{26}\approx 1.576923077$$

Solution Steps

Convert 1 to fraction \frac{2}{2}.

$$\frac{2}{2}+\frac{1}{2}+\frac{1}{13}$$

Since \frac{2}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{2+1}{2}+\frac{1}{13}$$

Add 2 and 1 to get 3.

$$\frac{3}{2}+\frac{1}{13}$$

Least common multiple of 2 and 13 is 26. Convert \frac{3}{2} and \frac{1}{13} to fractions with denominator 26.

$$\frac{39}{26}+\frac{2}{26}$$

Since \frac{39}{26} and \frac{2}{26} have the same denominator, add them by adding their numerators.

$$\frac{39+2}{26}$$

Add 39 and 2 to get 41.

$$\frac{41}{26}$$

Factor

$$\frac{41}{2 \cdot 13} = 1\frac{15}{26} = 1.5769230769230769$$