Solve 31/24+11/4

$$\frac { 31 } { 24 } + \frac { 11 } { 4 }$$

Evaluate

$$\frac{97}{24}\approx 4.041666667$$

Solution Steps

Least common multiple of 24 and 4 is 24. Convert \frac{31}{24} and \frac{11}{4} to fractions with denominator 24.

$$\frac{31}{24}+\frac{66}{24}$$

Since \frac{31}{24} and \frac{66}{24} have the same denominator, add them by adding their numerators.

$$\frac{31+66}{24}$$

Add 31 and 66 to get 97.

$$\frac{97}{24}$$

Factor

$$\frac{97}{2 ^ {3} \cdot 3} = 4\frac{1}{24} = 4.041666666666667$$