Solve 65/10+5/13

$$\frac{ 65 }{ 10 } + \frac{ 5 }{ 13 }$$

Evaluate

$$\frac{179}{26}\approx 6.884615385$$

Solution Steps

Reduce the fraction \frac{65}{10} to lowest terms by extracting and canceling out 5.

$$\frac{13}{2}+\frac{5}{13}$$

Least common multiple of 2 and 13 is 26. Convert \frac{13}{2} and \frac{5}{13} to fractions with denominator 26.

$$\frac{169}{26}+\frac{10}{26}$$

Since \frac{169}{26} and \frac{10}{26} have the same denominator, add them by adding their numerators.

$$\frac{169+10}{26}$$

Add 169 and 10 to get 179.

$$\frac{179}{26}$$

Factor

$$\frac{179}{2 \cdot 13} = 6\frac{23}{26} = 6.884615384615385$$