Solve 3/8+4/9

$$\frac { 3 } { 8 } + \frac { 4 } { 9 }$$

Evaluate

$$\frac{59}{72}\approx 0.819444444$$

Solution Steps

Least common multiple of 8 and 9 is 72. Convert \frac{3}{8} and \frac{4}{9} to fractions with denominator 72.

$$\frac{27}{72}+\frac{32}{72}$$

Since \frac{27}{72} and \frac{32}{72} have the same denominator, add them by adding their numerators.

$$\frac{27+32}{72}$$

Add 27 and 32 to get 59.

$$\frac{59}{72}$$

Factor

$$\frac{59}{2 ^ {3} \cdot 3 ^ {2}} = 0.8194444444444444$$