Solve 21/12+5/9

$$2 \frac { 1 } { 12 } + \frac{ 5 }{ 9 }$$

Evaluate

$$\frac{95}{36}\approx 2.638888889$$

Solution Steps

Multiply 2 and 12 to get 24.

$$\frac{24+1}{12}+\frac{5}{9}$$

Add 24 and 1 to get 25.

$$\frac{25}{12}+\frac{5}{9}$$

Least common multiple of 12 and 9 is 36. Convert \frac{25}{12} and \frac{5}{9} to fractions with denominator 36.

$$\frac{75}{36}+\frac{20}{36}$$

Since \frac{75}{36} and \frac{20}{36} have the same denominator, add them by adding their numerators.

$$\frac{75+20}{36}$$

Add 75 and 20 to get 95.

$$\frac{95}{36}$$

Factor

$$\frac{5 \cdot 19}{2 ^ {2} \cdot 3 ^ {2}} = 2\frac{23}{36} = 2.638888888888889$$