Final answer:
To solve the equation x - 1 3/5 = 6/7, subtract 1 3/5 from both sides and combine the fractions to find the solution x = 1 2/35.
Step-by-step explanation:
To solve the equation x - 1 3/5 = 6/7, we can start by subtracting 1 3/5 from both sides of the equation. This gives us x = 6/7 + 1 3/5. To add the fractions, we need a common denominator. The common denominator of 7 and 5 is 35. So, we have x = 30/35 + 7/35. Adding the fractions gives us x = 37/35. We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 37. So, the final answer is x = 1 2/35.