Question

( egyptian fractions are fractions where the numerator can only be one) find two egyptian fractions where when added together it equalls 11/32

Answer 1

let them be 1/a and 1/b

we are given
1/a + 1/b = 11/32
adding the left side with a common denominator ...
(a+b)/(ab) = 11/32 or 22/64 or 33/96 or ....
so .... a+b = 11 and ab = 32
no integer solutions
a+b = 22 and ab = 64
no integer solutions
a+b = 33, ab = 96
no integer solution
...
a+b = 99 , ab = 288
a= 3, b = 96

<b>1/3 + 1/96</b> = 99/288 = 11/32

Answer 2

thankyou