Solve 9/4+5/3

$$\frac{ 9 }{ 4 } + \frac{ 5 }{ 3 }$$

Evaluate

$$\frac{47}{12}\approx 3.916666667$$

Solution Steps

Least common multiple of 4 and 3 is 12. Convert \frac{9}{4} and \frac{5}{3} to fractions with denominator 12.

$$\frac{27}{12}+\frac{20}{12}$$

Since \frac{27}{12} and \frac{20}{12} have the same denominator, add them by adding their numerators.

$$\frac{27+20}{12}$$

Add 27 and 20 to get 47.

$$\frac{47}{12}$$

Factor

$$\frac{47}{2 ^ {2} \cdot 3} = 3\frac{11}{12} = 3.9166666666666665$$