Solve 9/2+4/9

$$\frac { 9 } { 2 } + \frac { 4 } { 9 }$$

Evaluate

$$\frac{89}{18}\approx 4.944444444$$

Solution Steps

Least common multiple of 2 and 9 is 18. Convert \frac{9}{2} and \frac{4}{9} to fractions with denominator 18.

$$\frac{81}{18}+\frac{8}{18}$$

Since \frac{81}{18} and \frac{8}{18} have the same denominator, add them by adding their numerators.

$$\frac{81+8}{18}$$

Add 81 and 8 to get 89.

$$\frac{89}{18}$$

Factor

$$\frac{89}{2 \cdot 3 ^ {2}} = 4\frac{17}{18} = 4.944444444444445$$