Final answer:
To add and subtract mixed numbers without regrouping, add the whole numbers together and then add/subtract the fractions separately.
Step-by-step explanation:
To add and subtract mixed numbers without regrouping, you need to focus on the whole number and the fractional part separately.
- For addition, add the whole numbers together and then add the fractions together. If the sum of the fractions is equal to or greater than 1, carry over the whole number portion to the sum of the whole numbers.
- For subtraction, subtract the whole numbers and then subtract the fractions. If the difference of the fractions is negative, borrow 1 from the whole number portion.
In the given example, 9 + 6 = 15 for the whole numbers and 2/8 - 1/8 = 1/8 for the fractions. Therefore, 9 2/8 - 6 1/8 = 15 1/8.