Question #b2995
1 Answer
One is half of 2
Explanation:
A fraction has two parts, the top and bottom number. I want you to think of the top number as the count and the bottom number as an indicator of size. Proper names are
Consider the fraction
The number of 5 means that we need 5 of them to make a whole of something. Suppose you have a plank of wood and split it into 2 equal lengths. We have a count of 2 but the size is also 2 so we have
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I am using the sign
Remember that half is
But for all of something we need the count part of
To change the count of 1 into a count of 2 we have 1+1
It is the same with fractions
To change the count of 1 (of size 2) we add another 1 (of size 2)
That is
If we have doubled the right hand side of
Then we need to double the left as well
So
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1 is