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the denominator of a rational number is 2 less than its numerator is the numerator is decreased by 5 the denominator is increased by 1 the new number becomes 2 upon 3 find the original number​

Respuesta :

Answer:

Original number = 13 / 11

Explanation:

Assume:

Numerator of a rational number = x

So,

Denominator of a rational number = x - 2

Rational number  = [tex]\frac{x}{x-2}[/tex]

Numerator decreased by 5 the denominator is increased by 1

New Rational number = 2/3

So,

[tex]\frac{x-5}{x-2+1}=\frac{2}{3}\\\\\frac{x-5}{x-1} = \frac{2}{3}\\\\x=13[/tex]

So,

Numerator of a rational number = 13

Denominator of a rational number = 13 - 2

Denominator of a rational number = 11

Original number = 13 / 11

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