Solve 15/4-7/6

$$\frac { 15 } { 4 } - \frac { 7 } { 6 }$$

Evaluate

$$\frac{31}{12}\approx 2.583333333$$

Solution Steps

Least common multiple of 4 and 6 is 12. Convert \frac{15}{4} and \frac{7}{6} to fractions with denominator 12.

$$\frac{45}{12}-\frac{14}{12}$$

Since \frac{45}{12} and \frac{14}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{45-14}{12}$$

Subtract 14 from 45 to get 31.

$$\frac{31}{12}$$

Factor

$$\frac{31}{2 ^ {2} \cdot 3} = 2\frac{7}{12} = 2.5833333333333335$$