Josh has 100 feet of rope. He cuts the rope in half, and then takes one of the halves and cuts it in half again. He grabs one of the remaining pieces and cuts it into fifths. He's stuck holding one length of the rope he's most recently cut. How long is it? Give me reasons, before answering the question
John starts with 100ft of rope that he cuts in half, meaning he has 100 / 2 = 50 - foot sections of rope. He then takes one of these sections and cuts it in half again, leaving him with two 50 / 2 = 25 - foot sections of rope. He then takes one of these sections and cuts it into fifths, leaving him with 25 / 5 = 5 foot sections of rope, one of which he is now holding. So the final answer is 5.