Question

19. The numerator of a fraction is 1 less than the denominator.
а
When both numerator and denominator are increased by 2,
the fraction is increased by . Find the original fraction.
12

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

denominator=x

numerator=x-1

fraction=x-1/x

according to question

(x-1)/x+1/12=(x+1)/(x+2)

(12(x-1)+x)/12x=(x+1)/(x+2)

13x ^ 2 + 26x - 12x - 24 = 12x ^ 2 + 12x

13x ^ 2 + 14x - 24 = 12x ^ 2 + 12x

x ^ 2 + 2x - 24 = 0

x ^ 2 + 6x - 4x - 24 = 0

x(x + 6) - 4(x + 6) = 0

(x + 6)(x - 4) = 0

x = - 6 or x = 4

Therefore, rator = 4 & rator = 3

Fraction =3/4 ....

Neglecting negative number we assume x = 4

therefore, denominator=4& numerator =3

fraction =3/4

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