Question

A construction company needs 5 1/6 tons of dirt from a construction site. They can remove 5/9 tons of dirt each hour. What is the total number of hours it will take to remove the dirt ?

Answer 1

in 1 hr they can remove 5/6 amount of dirt

Answer 2

One hour = 5/6 tons of dirt.

Number of hour needed to remove 5 1/6 tons of dirt:


`5 (1)/(6) / (5)/(6)`

Write in improper fraction:


`=(31)/(6) / (5)/(6)`

Change the divide fraction to multiplication fraction:


`=(31)/(6) * (6)/(5)`

Combine into single fraction:


`=(31)/(5)`


`=6(1)/(5) \text { hours }`