To subtract 17 5/6 from 25 1/3, we need to convert both mixed numbers to improper fractions and then perform the subtraction.
25 1/3 can be written as an improper fraction as follows:
25 1/3 = (25 * 3 + 1) / 3 = 76/3
17 5/6 can be written as an improper fraction as follows:
17 5/6 = (17 * 6 + 5) / 6 = 107/6
Now, we can subtract the two fractions:
76/3 - 107/6
To subtract fractions, we need a common denominator. The least common multiple (LCM) of 3 and 6 is 6. Therefore, we can rewrite the fractions with a common denominator of 6:
(76/3) * (2/2) = 152/6
107/6
Now, we can subtract the fractions:
152/6 - 107/6 = (152 - 107) / 6 = 45/6
The fraction 45/6 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:
45/6 = (45/3) / (6/3) = 15/2
Therefore, 25 1/3 - 17 5/6 is equal to 15/2 or 7 1/2.