Question #93d85

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Answer 1 · 2018-02-11T21:51:10

The simplified form is #5/6#.

To simplify fractions, you can write out factors on the numerator and the denominator and cancel out any that are in common, like this:

#color(white)(....)10/12#

#=(5*2)/(6*2)#

#=(5*color(red)(cancel(color(black)2)))/(6*color(red)(cancel(color(black)2)))#

#=5/6#

#=5/(2*3)#

This is the simplest form since there are no more common factors.

Answer 2 · 2018-02-11T21:51:43

See below...

#10# and #12# both are factors of #2#.

#therefore# if we divide the top and bottom numbers by #2# we can simplify the fraction.

#10/2=5#
#12/2=6#

#therefore 10/12 = 5/6#

#5# and #6# have no common factors except #1# would have no effect on simplifying the fraction.

This means #5/6# is the simplest form.