The number of pages that Ana, Hillary, Roger, and Juan can read in a day is shown below:

Ana read 15% of her 46-page book.
Hillary read 11% of her 72-page book.
Roger read 12% of his 68-page book.
Juan read 14% of his 69-page book
.Who can read the greatest number of pages in a day?

To find out who can read the greatest number of pages in a day, we need to calculate the number of pages each person can read.

For Ana: 15% of 46 pages = 0.15 * 46 = 6.9 pages

For Hillary: 11% of 72 pages = 0.11 * 72 = 7.92 pages

For Roger: 12% of 68 pages = 0.12 * 68 = 8.16 pages

For Juan: 14% of 69 pages = 0.14 * 69 = 9.66 pages

Therefore, Juan can read the greatest number of pages in a day with 9.66 pages.