Solve 3/7+15/6

$$\frac { 3 } { 7 } + \frac { 15 } { 6 }$$

Evaluate

$$\frac{41}{14}\approx 2.928571429$$

Solution Steps

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

$$\frac{3}{7}+\frac{5}{2}$$

Least common multiple of 7 and 2 is 14. Convert \frac{3}{7} and \frac{5}{2} to fractions with denominator 14.

$$\frac{6}{14}+\frac{35}{14}$$

Since \frac{6}{14} and \frac{35}{14} have the same denominator, add them by adding their numerators.

$$\frac{6+35}{14}$$

Add 6 and 35 to get 41.

$$\frac{41}{14}$$

Factor

$$\frac{41}{2 \cdot 7} = 2\frac{13}{14} = 2.9285714285714284$$