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what has to be added to the sum of 2/3 & 3/2 to get 3? give answer as whole number or fraction <question 10 in the image>

what has to be added to the sum of 23 amp 32 to get 3 give answer as whole number or fraction ltquestion 10 in the imagegt class=

Respuesta :

Be x that has to be added to the sum of 2/3 and 3/2
(2/3+3/2)+x=3

Solving for x:
(2*2+3*3)/6+x=3
(4+9)/6+x=3
13/6+x=3
13/6+x-13/6=3-13/6
x=(6*3-13)/6
x=(18-13)/6
x=5/6

Answer: 5/6 has to be added to the sum of 2/3 and 3/2 to get 3