Solve 5/10+9/13

$$\frac { 5 } { 10 } + \frac { 9 } { 13 }$$

Evaluate

$$\frac{31}{26}\approx 1.192307692$$

Solution Steps

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}+\frac{9}{13}$$

Least common multiple of 2 and 13 is 26. Convert \frac{1}{2} and \frac{9}{13} to fractions with denominator 26.

$$\frac{13}{26}+\frac{18}{26}$$

Since \frac{13}{26} and \frac{18}{26} have the same denominator, add them by adding their numerators.

$$\frac{13+18}{26}$$

Add 13 and 18 to get 31.

$$\frac{31}{26}$$

Factor

$$\frac{31}{2 \cdot 13} = 1\frac{5}{26} = 1.1923076923076923$$