Why 0.8 8/10 80/100 80% and ⅘
all have the same value
In the picture below I have shaded 80 out 100 of all the spaces.
Another way of writing this is 80/100
In this picture I have looked at it in another way. And divided it into columns of tenths. Now 8 out of 10 or 8/10 are shaded.
In this picture 100 squares are divided into five groups of fifths.
Out of 5 columns or ⅘ which as you can see is the same size as 80/100
percentage and decimals . I have shaded 8 tenths or 8/10 I know that there are 8 in the tenths column or 0.8.
Percent means out of 100 so 80/100=80
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