Question

A construction company can remove 3 3/4 metric tons of dirt from a construction site in 1 1/8 hours. How many metric tons of dirt can the company remove in one hour?""

Answer 1

The construction company can remove 10/3 metric tons of dirt in one hour.

Step-by-step explanation:

To find out how many metric tons of dirt the construction company can remove in one hour, we need to divide the amount of dirt removed in 1 1/8 hours by 1 1/8. Since there are 4/4 in 1 whole, we can convert the mixed number 3 3/4 to 15/4. Therefore, the company can remove 15/4 metric tons of dirt in 1 1/8 hours. Dividing this by 9/8 gives us the amount of dirt removed in 1 hour.

Step-by-step solution:

1. Convert 3 3/4 to an improper fraction: 3 3/4 = 15/4
2. Divide 15/4 by 1 1/8: (15/4) / (9/8) = (15/4) * (8/9) = 120/36 = 10/3

Therefore, the construction company can remove 10/3 metric tons of dirt in one hour.