Final answer:
Julia used 12 and 1/4 feet of yarn for her projects.
Step-by-step explanation:
To find the total amount of yarn Julia used, we need to add the lengths of yarn used for each project. First, let's convert the mixed numbers to improper fractions. 1(1)/(12) feet can be written as 13/12 feet, 1(5)/(6)⁴ feet can be written as 17/6 feet, and 1(1)/(3) feet can be written as 4/3 feet. Now, add the fractions together by finding a common denominator and then adding the numerators: 13/12 + 17/6 + 4/3 = 153/12 feet. We can simplify this fraction to 12(3)/(12) feet or 12(1/4) feet. Therefore, Julia used 12 and 1/4 feet of yarn for her projects.