Which is bigger: 30% or 4/15?

1 Answer
Jul 9, 2016

30% is the bigger of the two values

Explanation:

#30%" is the same as "30/100#

We can not determine which is the bigger unless we compare counts in some way. ( Fraction#->("count")/("indicator of size")" "#)

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Change #30%# into 15ths #" "#(note that #15/15=1# )

#30/100xx15/15" " =" " (30xx15)/(100xx15) " "=" "(30xx15)/100xx1/15#

#= 4 1/2xx1/15#

#"So "30%=(4 1/2)/15#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

As #" "30%=(4 1/2)/15# and # (4 1/2)/15" is bigger than "4/15#

then 30% is bigger