Question

A construction company needs to remove 3 5/6 tons of dirt from a construction site. They can remove 7/9 tons of dirt each hour. what is the total number of hours it will take to remove the dirt?

Answer 1

Answer:

4 13/14 hours.

Step-by-step explanation:

7/9 x h = 3 5/6

h = hours, and I'm going to convert to a common denominator of 18 and an improper fraction on the right to make the next steps easier:

14/18 x h = 23/6

14/18 x h = 69/18

14/18h = 69/18

divide both sides by 14/18. To do that, you multiply by the reciprocal/inverse (which is 18/14)

h = 69/18 x 18/14

h = 69/14

h = 4 13/14