How do you evaluate #6\frac { 2} { 4} + 8\frac { 2} { 3}#?

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Answer 1 · 2017-02-26T10:09:10

#6 2/4 + 8 2/3 = 91/6 = 15 1/6#

First note that:

#2/4 = (1xxcolor(red)(cancel(color(black)(2))))/(2xxcolor(red)(cancel(color(black)(2)))) = 1/2#

So:

#6 2/4 = 6 1/2 = 6 + 1/2 = 12/2+1/2 = (12+1)/2 = 13/2#

#8 2/3 = 24/3 + 2/3 = (24+2)/3 = 26/3#

In order to add #13/2# and #26/3# we need them to have the same denominator, which we can do like this:

#13/2+26/3 = (13xx3)/(2xx3) + (26xx2)/(3xx2) = 39/6+52/6 = (39+52)/6 = 91/6#

Finally, we can convert #91/6# to a mixed fraction:

#91/6 = 90/6 + 1/6 = 15 + 1/6 = 15 1/6#

Answer 2 · 2017-02-26T18:43:29

#15 1/6#

#6 2/4+8 2/3#

#:.cancel26^13/cancel4^2+26/3#

#:.13/2+26/3#

#:.(39+52)/6#

#:.=91/6#

#:.=15 1/6#