Answer:
Explanation:
To find out how much shorter the pencil was after the student completed the project, we need to subtract the final length from the initial length:
7 1/2 - 5 7/8
To subtract these two mixed numbers, we need to convert them to a common denominator. The smallest common multiple of 2 and 8 (the denominators of the fractions) is 8, so we can rewrite the numbers as:
15/2 - 47/8
Now we can find a common denominator of 8:
(15/2) * (4/4) - (47/8) = 30/8 - 47/8
Subtracting the numerators, we get:
-17/8
Therefore, the pencil was 17/8 inches shorter after the student completed the project than when the student started the project. We can simplify this fraction to a mixed number:
-2 1/8
So the answer is C) 2 3/8 inches.