How do you convert 3/5 into a percent and decimal?
%3/5=0.6=60%%
Explanation:
To convert afraction into decimal, it is always better to look at denominator first. If
denominator has only 2 and 5 as prime factors, one can easily select a
number multiplying denominator by which convert it into a denominator,
which is a power of 10 and the result will be a limiting decimal. In case
it has a prime factor other than 2 and 5, conversion to decimal could
be longer and will result in a unending but repeating decimals. In the
instant case as denominator is 5, we can easily convert it into decimal
by multiplying denominator and numerator by 2.Hence
%3/5=(3x2)/(5x2)=6/10=0.6%To convert the fraction to percent, one needs to
just multiply it by 100 and write %%% sign against the result.As
3/5=0,6, it is %0.6x100=60%%
Another way of looking at
it%3/5=0.6%%3/5=60%%
Explanation:
color(blue)(Very important concept)
Consider 1/2. The top number
(numerator) is the count and the bottom number (denominator) is the size
indicator of what you are counting.So for 1/2 it takes 2 of what you are
counting to make a complete whole 1 of something.2/3 is such that the
count is 2 and you need 3 of what you are counting to make a whole 1 of
something.3/4 is such that you have a count of 3 and you need 4 of what
you are counting to make a whole 1 of
something
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%color(blue)(How
you use the above information)%%color(brown)(Changing 3/5 into a
decimal value)%We need to change the size indicator into 1. To change 5
into 1 we divide it by 5.What we do to the bottom we do to the top so that
the inherent value does not change. Just the way it looks.% 3/5 =
(3-:5)/(5-:5) = 0.6/1%We do not normally write the 1 so instead of
0.6/1 we just write %0.6%%
color(green)(3/5=0.6)%
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~%color(brown)(Changing
3/5 into a percentage)%Percentage just means the count of how many out
of 100 do you have.So in this case the size indicator (denominator) needs
to be 100So we have to change the 5 in 3/5 into 100We do this by
multiplying by 20What we do to the bottom we do to the top% 3/5 =
(3x20)/(5x20) = 60/100%But another way of writing%60/100% is %60%%%
color(green)(3/5 = 60%)%
