Final answer:
To subtract 7 4/6 - 5 5/6, you must borrow 1 from the whole number part of 7 4/6 and add it to the fractional part, which becomes 6 10/6. Then subtract 5 5/6 from it. The result is 1 5/6.
Step-by-step explanation:
To subtract the fractions 7 4/6 and 5 5/6, you first align the whole numbers and the fractions. Because the fractions have the same denominator, you can subtract the numerators directly. It should look something like this:
7 4/6
-5 5/6
You will notice that you cannot subtract 5/6 from 4/6 because 5/6 is larger. So, we need to borrow 1 from the whole number 7, which becomes 6, and then add 6/6 to 4/6 to make it 10/6. Now, you can subtract 5/6 from 10/6.
Now it becomes:
6 10/6
-5 5/6
The subtraction is straightforward from here:
Whole numbers: 6 - 5 = 1
Fractions: 10/6 - 5/6 = 5/6
Therefore, the answer is:
1 5/6