How do you simplify #1/2 + 2/3 + 3/4 #?

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Answer 1 · 2016-08-02T09:06:16

#1/2+2/3+3/4=23/12=1 11/12#

To simplify #1/2+2/3+3/4#, we can add them if the denominators are common. Now as LCD of the denominators #2#, #3# and #4# is #12#

#1/2+2/3+3/4#

#=(1/2xx1)+(2/3xx1)+(3/4xx1)#

= #(1xx6)/(2xx6)+(2xx4)/(3xx4)+(3xx3)/(4xx3)#

= #6/12+8/12+9/12#

= #(6+8+9)/12#

= #23/12# or #((12+11)/12)# or #(12/12+11/12)# or #1 11/12#