Verified Answer :

6 and 7/24. You just find a common denominator and subtract.

Answer:

9 1/8 pounds is 6 7/24 pounds heavier than 2 5/6 pounds.

Step-by-step explanation:

First, we will convert the mixed fraction in improper fractions.

9 1/8 pound = \(\frac{73}{8}\) pounds

2 5/6 pound = \(\frac{17}{6}\) pounds

To know how much heavy is a 9 1/8 pound box than a 2 5/6 pound box, we will subtract the smaller value from bigger one.

\(\frac{73}{8}- \frac{17}{6}\)

We will take the LCM of 8 and 6 to get a common denominator.

LCM is 24.

= \(\frac{219-68}{24}\)

= \(\frac{151}{24}\) pounds

In mixed fraction it is : \(6\frac{7}{24}\)

Therefore, 9 1/8 pounds is 6 7/24 pounds heavier than 2 5/6 pounds.