Solve 7/13+6/15

$$\frac { 7 } { 13 } + \frac { 6 } { 15 }$$

Evaluate

$$\frac{61}{65}\approx 0.938461538$$

Solution Steps

Reduce the fraction \frac{6}{15} to lowest terms by extracting and canceling out 3.

$$\frac{7}{13}+\frac{2}{5}$$

Least common multiple of 13 and 5 is 65. Convert \frac{7}{13} and \frac{2}{5} to fractions with denominator 65.

$$\frac{35}{65}+\frac{26}{65}$$

Since \frac{35}{65} and \frac{26}{65} have the same denominator, add them by adding their numerators.

$$\frac{35+26}{65}$$

Add 35 and 26 to get 61.

$$\frac{61}{65}$$

Factor

$$\frac{61}{5 \cdot 13} = 0.9384615384615385$$