Final answer:
To solve the equation x - 3 1/7 = 4 5/21, convert mixed numbers to improper fractions and find a common denominator to combine them, resulting in x = 155/21.
Step-by-step explanation:
To find the value of x when given the equation x - 3 1/7 = 4 5/21, we first need to convert the mixed numbers to improper fractions to simplify the calculation. 3 1/7 is equivalent to 22/7 and 4 5/21 is equivalent to 89/21. The equation then becomes x - 22/7 = 89/21.
To isolate x, we need to add 22/7 to both sides of the equation. Since the denominators are different, we have to find a common denominator, which is 21, to combine the fractions. Adding 22/7 to both sides gives us x = 89/21 + 22/7, which simplifies to x = 89/21 + 66/21, and results in x = 155/21.
Thus, the value of x is 155/21, which can be simplified further or left as an improper fraction depending on the context of the problem or the instructions given.