Question

Dan had to complete the remaining 1/3 of his science project this week. On Monday, he completed 4/5 of the work he had left to do. What part of the entire project did Dan complete on Monday?
Can you guide me on how to figure it out?

Answer 1

The common denominator of 1/3 and 4/5 is 15
So 1/3 of project or 5/15 is remaining
On Monday Dan completed 4/5 of remaining or 4/15 of entire project.
I think of it this way, if there are 15 pieces to complete
As of Monday 10 pieces were already complete which left 5
If Dan completed 4 out of the 5 then he completed 4 out of 15 which is the entire project.