If 2 is added to the numerator of a fraction it reduces to [1/2] and if is substracted from the denominator it reduce to [ 1/3] .

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1. Answer:

   2/8

   Step-by-step explanation:

   Let the numerator be x

   Let the denominator be y

   [tex]\frac{x + 2}{y} = \frac{1}{2}\\[/tex]

   => 2x + 4 = y

   [tex]\frac{x}{y-2} = \frac{1}{3}[/tex]

   => 3x = y – 2

   => 3x = 2x + 2

   => x = 2

   => y = 8

   [tex]\frac{x}{y} = \frac{2}{8}[/tex]

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