How do you find the fraction notation and simplify 16.6%?

3 Answers
Jun 22, 2016

Answer:

#16.6%=83/500#, this is roughly equal to #1/6#.

Explanation:

#x%# can be written in fraction notation as #x/100#

Hence #16.6%=16.6/100=166/1000=83/500#

This is roughly equal to #1/6# as

#1/6=(83.33333333....)/500=16.666666.....%#

Aug 26, 2016

Answer:

#16.667 = 16 2/3% = (16 2/3)/100 = (50/3)/100 = 50/300 = 1/6#

Explanation:

I am making an assumption that this is meant to be #16.dot6#, rather than 16.6 as given.

The percentage in this case would usually be given in a more accurate form of #16.7% or 16.67%, implying that it is a recurring decimal which has been rounded off.

The best way of giving it is #16 2/3%# which is accurate.

This is one of the common percentages which is useful to know by heart.
#16 2/3% = (16 2/3)/100 = (50/3)/100 = 50/300 = 1/6#

The other fractions in this family are:

#2/6 = 1/3 = 33 1/3% = 0.333#

#3/6 = 1/2 = 50% = 0.5#

#4/6 = 2/3 = 66 2/3% = 0.667#

#5/6 = 83 1/3% = 0.833#

Other common fractions are
#1/4 = 25% = 0.25#
#3/4 = 75% = 0.75#

Aug 28, 2016

Answer:

#83/500#

Explanation:

There are two ways of writing percentages. In sentences etc you would write 16.6% but for calculation you would write #16.6/100#

Not that #16.6/100 # is the same as #16.6-:100#

To get rid of the decimal point multiply both top (numerator) and bottom (denominator) by 10:

#(16.6xx10)/(100xx10)= 166/1000#

Both numerator and denominator are even so divide both by 2

#(166-:2)/(1000-:2) = 83/500#