Ryan made a scale drawing of his rectangular garden. The drawing has a width of 5 inches and a length of 8 inches. The scale is
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The answer is:
And this question isn't to difficult, and the trick is realizing they all have the same denominator.
The denominator is essentially saying how many pieces of the whole (1) is being broken into.
So the denominator 9, means that you're breaking up the number 1 into 9 pieces.
The numerator is telling us how many pieces of this "broken up 1" the number has.
So 8/9 has more of these "broken up pieces" than 7/9, and it's so vitally important that these numbers have the same denominator.
For example: 1/2 and 30/90
30/90 may appear to be bigger, since the numerator of 30, but it's actually smaller.
The reason for this is because we can simplify it to: 1/3 by dividing both sides by 30 so the value remains the same.
Now we can actually compare 1/2 and 1/3 without changing the denominators.
1/3 is "one piece" of a broken up one, that was "broken" into 3 pieces.
1/2 is "one piece" of a broken up one, that was "broken" into 2 pieces.
So if I split one whole, into three pieces, each individual piece is going to be smaller than had I split that one whole into 2 pieces.
So 1/2 is actually bigger than 1/3