the numberator of a fraction is 4 less than the denominator if is added to both it numera tor and denominator it become 1 dy 2 find the fraction
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Step-by-step explanation:
Let the denominator of the required fraction be x.
Then, its numerator = (x - 4)
∴ (x - 4) + 1/ x + 1 = 1/2
⇒ x - 3/x + 1 = 1/2
⇒ 2(x - 3) = x + 1
⇒ 2x - 6 = x +1
⇒ 2x - x = 6 + 1
⇒ x = 7.
∴ Denominator = 7 and Numerator = (7 - 4) = 3.
Hence, the required fraction is 3/7.
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