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In this example there are fourteen men and twelve women in Professor Bohart's
MAT082 class
what fraction of the students in the class are women?
so we're given the information that there are fourteen men
and
twelve women
so let's write that down
in the spot for our given we're going to use the five step
problem solving process here to display our solution to this problem
so our goal
is to determine
what fraction
are women
so what we need
for our math work is the number of women which we know is twelve
over the total number of people which is fourteen plus twelve
so let's combine our numbers in the denominator to give twenty six
and then
reduce
twelve is two
times
six
twenty six is two times thirteen
common factor of two can be removed
so we have six over thirteen
let's do a little bit of a check
six of thirteen is just under half
and if you look at our twelve and fourteen we have twelve women and fourteen
men so it's almost an even split but there are
slightly fewer women so this result
seems reasonable
so i'm just gonna say seems reasonable
with the check there is usually not a problem unless you've worked it incorrectly so
if you believe you worked it correctly just say so
and be sure that you take a look at your number and see if it makes sense
so our final result then in a complete sentence we're gonna write our fractions out
as numbers
is twelve twenty sixths or
six
thirteenths of
the students
were women
and that
is our final
result