a fraction becomes 1/3 when I is subtracted from its numerator and denominator. If 1 is adde to both its numerator and denomenaator it becomes 1/2. Find the fraction.
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Let the numerator be 'a' and denominator be 'b' Given, fraction becomes 13 if 1 is subtracted from both its numerator and denominator. If 1 is added to both the numerator and denominator, it becomes 1/2.
⇒ 3a-3=b-1
⇒ b=3a-2-----(1)
Also, if 1 is added to both the numerator and denominator, it becomes 1/2
⇒ b=2a+1-----(2)
Equating (1) and (2)
→ 3a - 2 - 2a + 1
→ a=3
Thus, b = 7
Fraction is 3/7
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Step-by-step explanation:
A fraction becomes 1/3 when 1 is subtracted from the numerator. It become 1/4 when 8 is added to its denominator. Hence, the fraction is 5/12.
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