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Converting fractions into percents/decimals

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Converting fractions into percents/decimals [#permalink] New post 21 Oct 2012, 15:22
Hey guys,

I started studying for the GMAT and I was wondering how do you know how many zeros to add when doing long division to covert fraction into a percent. For example 3/8 you would divide 8 by 3.000 but 1/4 you only divide 4 by 1.00. Could someone explain that to me please? Thank you
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Re: Converting fractions into percents/decimals [#permalink] New post 21 Oct 2012, 22:23
To convert a fraction into percent you have to multiply the fraction by 100.

i.e. 1/5 = 0.2 ---> 0.2*100 = 20%
1/6 = 0.1666... ---> 0.16*100 = 16.66 %
3/8 = 0.375 ---> 0.375*100 = 37.5%
1/4 = 0.25 ---> 0.25 * 100 = 25%

and so on
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Re: Converting fractions into percents/decimals [#permalink] New post 21 Oct 2012, 23:10
Expert's post
thinkpink25 wrote:
Hey guys,

I started studying for the GMAT and I was wondering how do you know how many zeros to add when doing long division to covert fraction into a percent. For example 3/8 you would divide 8 by 3.000 but 1/4 you only divide 4 by 1.00. Could someone explain that to me please? Thank you



Check out this post on relation between percents and fractions:
http://www.veritasprep.com/blog/2011/02 ... rcentages/

When you say 50%, it represents 50/100 (percent means per cent i.e. per 100 i.e. /100)
So 50% means 50 out of every 100 which is 1 out of every 2.
50/100 = 1/2

Similarly, when you want to convert 1/4 to percent, you are saying 1 out of every 4 so how many out of every 100?
1/4 = x/100
x = 25

Hence, 1/4 = 25/100 = 25%

Similarly, when you convert 3/8 to percent,
3/8 = x/100
x = 37.5

Hence, 3/8 = 37.5%
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Re: Converting fractions into percents/decimals   [#permalink] 21 Oct 2012, 23:10
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