A fraction becomes 1/6 when 4 is subtracted from the numerator

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$A fraction becomes 1/6 when 4 is subtracted from the numerator$

$A fraction becomes 1/6 when 4 is subtracted from the numerator$

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A fraction becomes 1/6 when 4 is subtracted from its numerator and 1 is added to its denominator. If 2 and 1 are respectively added to its numerator and the denominator, it becomes 1/3 Then, the LCM of the numerator and denominator of the said fraction, must be

Let the original fraction be	p	.
q

⇒ 6p – 24 = q + 1⇒ 6p – q = 25 .......(i)

Again,

⇒ 3p + 6 = q + 1⇒ 3p – q = –5 .......(ii)By equation (i) – (ii),6p – q – 3p + q = 25 + 5⇒ 3p = 30 ⇒ p = 10From equation (i),60 – q = 25 ⇒ q = 35

LCM of 10 and 35 = 70

$A fraction becomes 1/6 when 4 is subtracted from the numerator$

Ans: 70 Explanation: fraction will be 10/35 LCM of 10 and 35 is 70 why not 2/7 explanation: 10-4/35+1=6/36=1/6 BUT 2-4/7+1=-2/8=-1/4

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