Solve 8/9+7/12

$$\frac { 8 } { 9 } + \frac { 7 } { 12 }$$

Evaluate

$$\frac{53}{36}\approx 1.472222222$$

Solution Steps

Least common multiple of 9 and 12 is 36. Convert \frac{8}{9} and \frac{7}{12} to fractions with denominator 36.

$$\frac{32}{36}+\frac{21}{36}$$

Since \frac{32}{36} and \frac{21}{36} have the same denominator, add them by adding their numerators.

$$\frac{32+21}{36}$$

Add 32 and 21 to get 53.

$$\frac{53}{36}$$

Factor

$$\frac{53}{2 ^ {2} \cdot 3 ^ {2}} = 1\frac{17}{36} = 1.4722222222222223$$