To add 4 5/9 and 83/18, first convert the mixed number to an improper fraction:
4 5/9 = 4 + 5/9 = 4*9/9 + 5/9 = 36/9 + 5/9 = 41/9
Now, add the two fractions:
41/9 + 83/18
To add these fractions, you first need to find a common denominator. The lowest common multiple (LCM) of 9 and 18 is 18.
So, rewrite the fractions with a common denominator of 18:
(41/9) * (2/2) = 82/18 83/18
Now, add the fractions:
82/18 + 83/18 = (82 + 83)/18 = 165/18
Finally, simplify the fraction if necessary:
165/18 = 55/6
Therefore, 4 5/9 + 83/18 = 55/6
