convert fractions,decimals and percent

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 the 3rd picture I have decided the 100 squares into five
groups of fifths.

Out of 5 columns or ⅘ witch as you can see is the same size
as 80/100

Finally for percentage and decimals . I’m going to go back
to my
first picture. Because we have shaded 8 tenths or 8/10 we
know
that there are 8 in the tenths column or 0.8.

Percent means out of 100 so 80/100=80%