Final answer:
To subtract the mixed numbers 6(1)/(7) and 3(4)/(7), you subtract the whole numbers and the fractions separately to get 2(4)/(7) as the answer.
Step-by-step explanation:
To subtract the mixed numbers 6(1)/(7) and 3(4)/(7), first subtract the whole numbers, then the fractions. Since both fractions have the same denominator, you can subtract the numerators directly. So, you would have 6 - 3 which equals 3, and 1/7 - 4/7 which equals -3/7. However, since we can't have a negative fraction in a mixed number, we take 1 from the whole number 3 and add the denominator (7) to the numerator (-3). This gives us 2(4/7) as the result of our subtraction.