Solve 2/9+3/8

$$\frac { 2 } { 9 } + \frac { 3 } { 8 }$$

Evaluate

$$\frac{43}{72}\approx 0.597222222$$

Solution Steps

Least common multiple of 9 and 8 is 72. Convert \frac{2}{9} and \frac{3}{8} to fractions with denominator 72.

$$\frac{16}{72}+\frac{27}{72}$$

Since \frac{16}{72} and \frac{27}{72} have the same denominator, add them by adding their numerators.

$$\frac{16+27}{72}$$

Add 16 and 27 to get 43.

$$\frac{43}{72}$$

Factor

$$\frac{43}{2 ^ {3} \cdot 3 ^ {2}} = 0.5972222222222222$$