To solve this problem, let's first convert the mixed numbers to improper fractions for easier calculations.
1. Convert 6 1/2 to an improper fraction:
6 1/2 = (2 * 6 + 1) / 2 = (12 + 1) / 2 = 13/2
2. Convert 3 2/6 to an improper fraction:
3 2/6 = (6 * 3 + 2) / 6 = (18 + 2) / 6 = 20/6
Now, let's subtract the number of dozens sold from the total number of dozens Tara baked:
Remaining dozens = Total dozens - Dozens sold
Remaining dozens = (13/2) - (20/6)
To subtract fractions, we need to find a common denominator, which in this case is 6.
Remaining dozens = (13 * 3 / 2 * 3) - (20/6)
Remaining dozens = (39/6) - (20/6)
Remaining dozens = (39 - 20) / 6
Remaining dozens = 19/6
Now, we need to express the fraction as a mixed number:
Remaining dozens = 3 1/6
Therefore, Tara has 3 1/6 dozen cookies remaining.
