Solve 11/4+80/9

$$\frac{ 11 }{ 4 } + \frac{ 80 }{ 9 }$$

Evaluate

$$\frac{419}{36}\approx 11.638888889$$

Solution Steps

Least common multiple of 4 and 9 is 36. Convert \frac{11}{4} and \frac{80}{9} to fractions with denominator 36.

$$\frac{99}{36}+\frac{320}{36}$$

Since \frac{99}{36} and \frac{320}{36} have the same denominator, add them by adding their numerators.

$$\frac{99+320}{36}$$

Add 99 and 320 to get 419.

$$\frac{419}{36}$$

Factor

$$\frac{419}{2 ^ {2} \cdot 3 ^ {2}} = 11\frac{23}{36} = 11.63888888888889$$