7 1/3 - 2 5/6
7 2/6 -2 5/6
6 8/6 - 2 5/6
4 3/6
4 1/2
First, find the common denominator and change to an equivalent fraction.
7 1/3 = 7 2/6 = 6 8/6
6 8/6 - 2 5/6 = 4 3/6 = 4 1/2
To subtract mixed numbers like 7 1/3 - 2 5/6, follow these steps:
Step 1: Convert the mixed numbers into improper fractions.
7 1/3 can be written as (7 * 3 + 1) / 3 = 22/3.
2 5/6 can be written as (2 * 6 + 5) / 6 = 17/6.
Step 2: Find a common denominator.
To subtract fractions, we need to have the same denominator.
In this case, the common denominator is 3 * 6 = 18.
Step 3: Rewrite the fractions with the common denominator.
22/3 becomes (22 * 6) / (3 * 6) = 132/18.
17/6 remains the same.
Step 4: Subtract the fractions.
132/18 - 17/6 can now be written as (132 - 17) / 18 = 115/18.
Step 5: Simplify the fraction (if needed).
The fraction 115/18 is already in its simplest form, so this is the final answer.
Therefore, 7 1/3 - 2 5/6 = 115/18.