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

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Answer 1 · 2016-06-21T09:28:05

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

As GCD of the denominators #1#, #3# and #4# is #12#. Hence

#1+1/4+2/3#

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

= #(1xx12)/(1xx12)+(1xx3)/(4xx3)+(2xx4)/(3xx4)#

= #12/12+3/12+8/12#

= #(12+3+8)/12=23/12#

We can also write it as #1+3/12+8/12=1+(3+8)/12=1 11/12#