Final answer:
To find the total number of math problems, divide the number of problems completed (26) by the completed percentage (65%), which gives 40 problems in total. Since 26 problems are already done, subtract these from the total to find that Frank needs to complete 14 problems after dinner.
Step-by-step explanation:
The subject of this question is Mathematics, specifically it deals with percentages and determining the remainder of a task given a certain completed percentage. Frank has finished 65% of his math homework which amounts to 26 problems. To find out how many problems are in total, we divide the number of problems completed (26) by the percentage completed (0.65) to find the total number of problems:
Total Problems = 26 / 0.65 = 40 problems
Since Frank has completed 26 problems already, the number of problems left to complete is the total number of problems minus the number of problems already completed:
Problems left = Total Problems - Problems Completed = 40 - 26 = 14 problems
Therefore, after dinner, Frank will need to complete 14 problems