We had a good collection of offers:
David from St.Albans, Adam from Ystalyfera, Adrianos, Julian from
Wilson's School, and Andrei from Bucharest all sent in their chosen
sets of fractions with their reasons.
Here's one set in a table :
shows, for example, that 3/4 is 15/16 of 4/5 (check that for
And here's the spreadsheet file I used to
check the fraction sets which people sent in
If you check some other possible solutions
then you will find that Andrei has found the best set.