tell this plzzz ......... . .
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hope it would help please mark a as brainliest
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Answer:
2/5, 6/9
Step-by-step explanation:
Let the denominator be x.
Then the numerator = x - 3.
Original fraction = (x - 3/x).
Now,
Given that 1 is added to numerator, fraction is decreased by 1/15.
⇒ (x - 3/x + 1) = (x - 3/x) - 1/15
⇒ (x - 3/x) + (x - 3/x + 1) = 1/15
⇒ (x - 3)(x + 1) - x(x - 3)/x(x + 1) = 1/15
⇒ x² - 2x - 3 - x² + 3x/x² + x = 1/15
⇒ x - 3/x² + x = 1/15
⇒ x² + x = 15x - 45
⇒ x² - 14x + 45 = 0
⇒ x² - 9x - 5x + 45 = 0
⇒ x(x - 9) - 5(x - 9) = 0
⇒ x = 5,9
When x = 5:
Original fraction = (5 - 3)/5 = 2/5.
When x = 9:
Original fraction = (9 - 3)/9 = 6/9.
Therefore:
Required fraction = 2/5 (or) 6/9.
Hope it helps!
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