Final answer:
To solve the equation K-6 3/8=4 6/7, we need to find a common denominator for the fractions and then isolate the variable K. The value of K is 82/56.
Step-by-step explanation:
To solve the equation K-6 3/8=4 6/7, we can start by finding a common denominator for the fractions. The common denominator for 3/8 and 6/7 is 56. Now, we can rewrite the equation with a common denominator: K-48/56 = 34/56. To isolate K, we need to get rid of the fraction on the left side of the equation. We can do this by subtracting 48/56 from both sides: K-48/56 - 48/56 = 34/56 - 48/56. Simplifying, we get: K - 96/56 = -14/56. To further isolate K, we can add 96/56 to both sides of the equation: K - 96/56 + 96/56 = -14/56 + 96/56. Simplifying, we get: K = 82/56. Therefore, the value of K is 82/56.