SOLUTION: Express the following percent in decimal and in fraction form (in lowest terms). 0.02% = I understand that it's decimal form is 0.0002 but I don't understand why it's fraction f

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: Express the following percent in decimal and in fraction form (in lowest terms). 0.02% = I understand that it's decimal form is 0.0002 but I don't understand why it's fraction f      Log On


   

Question 180528: Express the following percent in decimal and in fraction form (in lowest terms).
0.02% = I understand that it's decimal form is 0.0002 but I don't understand why it's fraction format would not be 0.02/100 instead of 1/5,000.
Found 2 solutions by josmiceli, Mathtut:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
It's because a fraction has whole numbers in the
numerator and denominator
.0002+=+2%2A10%5E-4
2%2A10%5E-4+=+2%2F10%5E4
2%2F10%5E4+=+1%2F5000

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
it could be expressed that way .02/100 is the same as 1/5000
:
but you really dont want it in that form (.02/100)
:
in order to get rid of the decimal in the numerator you would multiply by 100
:
you must also do that to the denominator so you end up with 2/10000 which reduces to 1/5000
:
remember fractions or rational numbers are composed of an integer in the numerator and an integer in the denominator.