sentences:  Conversely, it is known that whenever "y" is odd, every fraction "x"/"y" has a representation of this type in which all the unit fractions are different from each other.For instance, such a representation can be found by replacing the fraction "x"/"y" by "Ax"/"Ay" where "A" is a number of the form 35×3"i" for a sufficiently large "i", and then expanding "Ax" as a sum of divisors of "Ay".However, there is a simpler greedy algorithm that has successfully found Egyptian fractions in which all denominators are odd for all instances "x"/"y" (with odd "y") on which it has been tested