- A unit fraction is a fraction of the form 1/n where n is a positive integer. Note that the unit fraction 1/11 can be written as the sum of two unit fractions in the following three ways:
1/11=1/12 + 1/132 = 1/22 + 1/22= 1/132 + 1/12
Are there any other ways of decomposing 1/11 into the sum of two unit fractions? In how many ways can we write 1/60 as the sum of two unit fractions? More generally, in how many ways can the unit fraction 1/n be written as the sum of two unit fractions? In other words, how many ordered pairs (a, b) of positive integers a, b are there for which
1/n = 1/a + 1/b
#Question I need help
modern pelican
fast quarryBOT
grim marten
it depends on the factors of n^2
modern pelican
What is the formula that helped you come to that conclusion?
grim marten
