Solve by finding a common denominator.
3 2/3 + 3 1/2
To find a common denominator, we need to find a number that both 3 and 2 divide evenly into. The smallest number that meets this criteria is 6.
So, we first rewrite the mixed numbers with a denominator of 6:
3 2/3 = (3 * 3 + 2)/3 = 11/3
3 1/2 = (3 * 2 + 1)/2 = 7/2
Now, we can add the fractions together:
11/3 + 7/2.
To add these fractions together, we need to find a common denominator. The common denominator is the least common multiple of 3 and 2, which is 6.
So, we need to rewrite both fractions with a denominator of 6:
11/3 = (11/3) * (2/2) = 22/6
7/2 = (7/2) * (3/3) = 21/6
Now, we can add the fractions together:
22/6 + 21/6 = (22 + 21)/6 = 43/6
Therefore, 3 2/3 + 3 1/2 = 43/6.