That is the central paradox inLDS perception of the Fall. God places Adam and Eve into a no win situation. They are commanded to procreate, which they cannot do without knowledge. They are commanded not to eat of the tree of knowledge, without which they will not know how to procreate. If they do nothing they break the commandment to procreate.
Eve understood first that the commanment to procreate was more important, at least after having been persuaded to eat the fruit, and convinced Adam to join her… The LDS version also presents Adam’s choice to eat as a proactive decision based on awareness that if he did not, they could not procreate – though a proactive informed decision without knowledge of good and evil seems antithetical.
Mormonism differntiates sin from transgression. Sin is worse. Adam and Eve transgressed because they broke a commandment lacking a knowledge of right and wrong, and for choosing the least serious of two bad choices (not being able to procreate versus eating the fruit).
One reason I am explaining this so much is that LDS do not often realize, apart from original sin, how much their view of the fall differs from other Christians. LDS do not base these beliefs on the Bible, and really very little on references to the Fall in the Book of Mormon, though they lean heavily on its, “Adam fell that men might be, and men are that they might have joy.”. Their positions depend on Joseph Smith’s Transliterations of Bible passages, including as I recall the Book of Moses in the Pearl of Great Price, which they canonize as scripture. It ties in heavily with their Temple ordinances, including various details generally not discussed, but the basic story differs little from their published scripture and discourses of leaders.
They consider the story a very literal account. Something in the fruit literally produced a change in their perfectly created bodies. Had they been able to eat the fruit of the Tree of Life , they would have reduced the resdiual fatality from the the fruit of Knowledge, been returned to physical perfection, kept their new found knowledge, and hence have become like God – LDS leaders have written in magazines and presented in conferences that there was no death at all in the world before the Fall of Adam, and that the fall introduced death to everything.