Numbertown ---- Candy Store |
The
merchant (24) at the candy store has a difficult time
with this. That’s because before fractions came to
live in Numbertown all transactions were done only
with dollar bills. For example, if the clothier
charged $25 for a shirt or blouse and a customer paid
with 3 ten dollar bills, then the merchant knew to
subtract 25 from 30 and give the customer $5 in
change. That’s just the way it was done. But now all
that has become more complicated.
4/6 speaks to Mayor 1: "Let me tell you a story. One day I came into this store to buy the $1/5 chocolate bar. but all I had with me was $1/4. The merchant scratched its head and said angrily, "What kind of nonsense is this? You don’t have enough money!” "What do you mean?" asked 4/6. "Not only is $1/4 enough, but I also get change." The merchant was dumbfounded. "You what? That's not possible," said 24. “Let me show you,” said Mayor 1. “You know that I can take on different forms. Well, money can take on different forms as well. And each new form has the same value. For example, $1/4 can become $2/8, $3/12, $4/16 and $5/20." “That should be enough," said 4/6. "Now let’s look at the different forms the price of the candy can take. The price $1/5 can also be $2/10, $3/15 and $4/20. Lets see which forms we can compare." Notice that 4/6 stopped the price forms when the denominators were the same. "Now do you see that I have enough money?" continued 4/6. |
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