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?

(1/3) * (4/5) = 4/15

To find out what part of the entire project Dan completed on Monday, we need to calculate the fraction of work he completed.

First, we know that Dan had 1/3 of the project left to complete this week. This means that the work remaining can be represented by the fraction 1/3.

On Monday, Dan completed 4/5 of the work he had left. We can represent this as the fraction 4/5.

To calculate the fraction of the entire project that Dan completed on Monday, we can multiply the remaining fraction by the fraction completed on Monday:

(1/3) * (4/5) = (1 * 4) / (3 * 5) = 4/15

Therefore, Dan completed 4/15 of the entire project on Monday.