Final answer:
Tara's hair will take 14 months to grow 4 2/3 inches longer.
Step-by-step explanation:
To find out how many months it will take for Tara's hair to grow 4 2/3 inches longer, we need to divide the additional length by the monthly growth rate.
- Convert the mixed number 4 2/3 into an improper fraction: 4 2/3 = (4*3 + 2)/3 = 14/3.
- Divide the additional length of 14/3 inches by the rate of 1/3 inch per month: (14/3)/(1/3) = (14/3) * (3/1) = 14 months.
Therefore, it will take Tara's hair 14 months to grow 4 2/3 inches longer.