5 1/6 - 7 1/3

To subtract mixed numbers like 5 1/6 - 7 1/3, follow these steps:

Step 1: Convert the mixed numbers into improper fractions.
5 1/6 = (5 * 6 + 1) / 6 = 31 / 6
7 1/3 = (7 * 3 + 1) / 3 = 22 / 3

So, 5 1/6 is equivalent to 31/6, and 7 1/3 is equivalent to 22/3.

Step 2: Find a common denominator.
The common denominator of 6 and 3 is 6, so we don't need to make any adjustments.

Step 3: Subtract the fractions.
31/6 - 22/3 = (31 - (22 * 2))/(6) = (31 - 44)/6 = -13/6

Therefore, 5 1/6 - 7 1/3 is equal to -13/6.

Note: If you'd like, you can also convert the improper fraction -13/6 back to a mixed number by dividing the numerator (13) by the denominator (6). The quotient is the whole number part, and the remainder is the fractional part. In this case, the quotient is -2 and the remainder is 1/6. So, -13/6 as a mixed number is -2 1/6.