When you clone with
division you are reducing the fraction to lower
terms. George in Fractions in Disguise* used a
reducer gadget to clone or reduce a fraction to
lowest terms.
For example, if 7/63 crosses George's path he would point his gadget at 7/63, dial it to 7 which is the greatest number that will go into both 7 and 63, and push the activate key. And by magic 7/63 becomes 1/9. Don’t you just love that kind of stuff! If your name is, say 1/3, and let's say you are having a group showing of some of your costumes. Here are a bunch of fractions. One of them is not part of your wardrobe.
It turns out that if George reduced all of these fractions you would see that 3/12 becomes 1/4 and the others all reduced to 1/3 so 1/4 would be the one that doesn't belong in 1/3's closet.
For example, if 7/63 crosses George's path he would point his gadget at 7/63, dial it to 7 which is the greatest number that will go into both 7 and 63, and push the activate key. And by magic 7/63 becomes 1/9. Don’t you just love that kind of stuff! If your name is, say 1/3, and let's say you are having a group showing of some of your costumes. Here are a bunch of fractions. One of them is not part of your wardrobe.
It turns out that if George reduced all of these fractions you would see that 3/12 becomes 1/4 and the others all reduced to 1/3 so 1/4 would be the one that doesn't belong in 1/3's closet.