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Let the fraction be
Then, 2x=2+y
Or, 2x-2=y
And,
Now, 3+x/3+2x-2=2/3(putting the value of y)
Or, 3+x=2/3*2x-2
Or, 3+x=4x-4/3
Or, 9+3x=4x-4
Or, x=13
Now, 2x=2+y
Therefore, 2*13=2+y
Or, 26-2=y
Or, y=24
Hence, the original fraction is 13/21
Then, 2x=2+y
Or, 2x-2=y
And,
Now, 3+x/3+2x-2=2/3(putting the value of y)
Or, 3+x=2/3*2x-2
Or, 3+x=4x-4/3
Or, 9+3x=4x-4
Or, x=13
Now, 2x=2+y
Therefore, 2*13=2+y
Or, 26-2=y
Or, y=24
Hence, the original fraction is 13/21
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