Question

a fraction become 1÷3 when 2is subtracted from the numerator and it becomes 1÷2 when 1 is subtracted from the denominator. find the fraction​

Answer 1

Step-by-step explanation:

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Answer 2

$\huge{\boxed{\red{\bf{Required \: answer:-}}}}$

Given:-

$Fraction is \sf{\dfrac{1}{3}}$

= -2

$Fraction is \sf{\dfrac{1}{2}}$

= -1

⠀

Solution:-

$\tt\longmapsto{\dfrac{x - 2}{y} =\dfrac{1}{3}}$

⟼3(x−2)=y

⟼3x−6=y

⟼3x−y=6 ⠀⠀.........(i)

⠀

$\tt\longmapsto{\dfrac{x}{y - 1} =\dfrac{1}{2}}$

⟼2x=y−1

⟼2x−y=−1 ⠀⠀.........(ii)

⠀

From (i) and (ii)

⟼3x−y=6

⟼2x−y=−1

⟼x=7

⠀

★ Putting the value of x in the eq. (i)

⟼3x−y=6

⟼3(7)−y=6

⟼21−y=6

⟼−y=6−21

⟼−y=−15

⟼y=15

$∴Fraction= \frac{7}{15}$