Question

Brandon is running errands for his mother. It is 1 4 mile from his house to the library and 2 3 mile from the library to the grocery store. Brandon claims that he walks a total of 11 12 mile if he goes from his house to the library to the grocery store. Which of the following shows whether Brandon is correct and why? A. Yes; the correct distance is 11 12 mile, because 1 4 2 3 = 3 12 8 12 = 11 12. B. No; the correct distance is 10 12 mile, because 1 4 2 3 = 4 12 6 12 = 10 12. C. No; the correct distance is 1 mile, because 1 4 2 3 = 4 12 8 12 = 12 12 = 1. D. No; the correct distance is 1 1 12 miles, because 1 4 2 3 = 4 12 9 12 = 13 12 = 1 1 12.

Answer 1

The correct answer is D. No; the correct distance is 1 1/12 miles, because 1/4 + 2/3 = 4/12 + 8/12 = 12/12 = 1 1/12.

To solve this problem, we first need to convert the mixed numbers to fractions. 1 4 = 4 12 and 2 3 = 8 12. Then, we can add the fractions together. 4 12 + 8 12 = 12 12 = 1 1 12.

Therefore, Brandon is incorrect. He walks a total of 1 1/12 miles, not 11 1/2 miles.