SOLUTION: Eva planted 1/2 of her garden with eggplant.how many tenths of garden are planted with eggplant?

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Question 834973: Eva planted 1/2 of her garden with eggplant.how many tenths of garden are planted with eggplant?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
This is Eva's garden, divided into two equal parts (halves) by that red line:
1%2F2 of Eva's garden is planted with eggplant.
Sorry, since I skipped kindergarten, I never quite learned to color within the lines.

Now I am drawing blue lines. The red and blue lines divide Eva's garden into 10 equal parts. Each one of those parts is 1%2F10 (one tenth) of Eva's garden.
5%2F10 (five thenths) of Eva's garden is planted with eggplant.
As I drew the blue lines,
I made 5 times as many parts out of the planted area,
and I made 5 times as many parts out of the whole garden.
1%2F2=1%2A5%2F%282%2A5%29=5%2F10
The numerator (1) of the fraction 1/2,
and the denominator (2) of the fraction 1/2,
got multiplied by the same number (5).
As a consequence, the fraction looks different, but it is the same number,
just like saying 6 eggs is the same as saying half a dozen eggs.