What is (3/4-2/3)+(1/2+1/3)?

1 Answer
Areej J.
Apr 6, 2018

# Answer=11/12 #

Explanation:

First we are gonna take L.C.M of #4# and #3# which is #12# and then take L.C.M of #2# and #3# that is #6#.
#=(3/4-2/3)+(1/2+1/3)#
#=((3*3)/(4*3)-(2*4)/(3*4))+((1*3)/(2*3)+(1*2)/(3*2))#
#=((9-8)/12)+((3+2)/6)#
#=1/12+5/6#
Now what we are gonna do is taking L.C.M of #12# and #6# that is #12#
#=1/12+(5*2)/(6*2)#
#=1/12+10/12#
#=(1+10)/12#
#=11/12#

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