Final answer:
To find the value of K in the equation K + 13/6 = 7/4, we subtract 13/6 from both sides and simplify. However, the solution -5/12 does not match any of the provided options, which suggests there might be a mistake in the problem setup.
Step-by-step explanation:
To solve the equation K + 13/6 = 7/4, we need to isolate the variable K. This requires moving the fraction 13/6 to the other side of the equation by subtracting it from both sides.
Step 1: Subtract 13/6 from both sides of the equation.
K + 13/6 - 13/6 = 7/4 - 13/6
Step 2: Simplify the right side by finding a common denominator, which is 12, and subtracting the fractions.
K = (7 × 3) / (4 × 3) - (13 × 2) / (6 × 2)
Step 3: Perform the subtraction.
K = 21/12 - 26/12
Step 4: Simplify the resulting fraction.
K = -5/12
However, in this case, none of the answer choices match with -5/12. There might be an error in the question, the answer choices, or the initial equation presented to us.