Final answer:
The solution to the equation k - 2 = 5/8 is to add 2 to both sides, combine the fractions, and simplify to find k = 21/8, or 2 5/8 as a mixed number.
Step-by-step explanation:
To solve the equation k - 2 = 5/8 for the variable k, we need to isolate k on one side of the equation. This can be done by adding 2 to both sides of the equation:
- Add 2 to both sides: k - 2 + 2 = 5/8 + 2
- Simplify both sides: k = 5/8 + 16/8
- Combine the fractions: k = (5 + 16) / 8
- Simplify the numerator: k = 21/8
The value of k is 21/8, which is also equal to 2 5/8 when written as a mixed number.