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It is easier to see this with 3 and 6. The idea with 7 and 6 is exactly the same, but no quite as easy to see.

6 divided by 3 is asking how many 3 there are in 6? There are 2 of them so 6 divided by 3 equals 2. 3 divided by 6 asks how many 6's there are in 3? We know there is only half of a six, that is to say, 3 in one 3. So 3 divided by 6 is 1/2.

6 divided by 7 asks how many 7's in 6? There is not even a whole 7 in 6, since we are 1 short of 7. We can write it as a fraction 6/7 which is less than 1. One is 7/7 by the way.

But 7 divided by 6 is one 6 with something left over. The something is 1/6 so it is 1 and 1/6

1 and 1/6 is the same as 7/6.

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โˆ™ 2009-08-20 15:12:58
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