Solve 4/9+3/8

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

Evaluate

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

Solution Steps

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

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

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

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

Add 32 and 27 to get 59.

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

Factor

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