To add these fractions, you'll need to find a common denominator. In this case, the least common denominator for 1/4 (quarters), 1/2 (halves), and 1/3 (thirds) is 12.
Now, express each fraction with a denominator of 12:
To express quarters as twelfths, multiply both the numerator and denominator by 3:
1/4 * 3/3 = 3/12
Halves are already expressed in terms of twelfths (6/12).
To express thirds as twelfths, multiply both the numerator and denominator by 4:
1/3 * 4/4 = 4/12
Now, you can add the fractions:
6 quarters (3/12 each) + 5 halves (6/12 each) + 2 thirds (4/12 each)
Now add the fractions:
(6 * 3/12) + (5 * 6/12) + (2 * 4/12)
18/12 + 30/12 + 8/12
Now, add the numerators together:
(18 + 30 + 8)/12
56/12
Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4:
(56 ÷ 4) / (12 ÷ 4)
14/3
So, the result of the expression "Six quarters + five halves + two thirds" is equal to 14/3 or 4 2/3 when expressed as a mixed number.