the numerator of a fraction is 3 less than its denominator if we add 1 to both numerator and denominator,it becomes equal to find the fraction
Answers
Step-by-step explanation: i am sorry for this time because u didnt posted question properly. after adding 1 to numerator and denominator it is equal to?
so, post the question again and then i will definitly answer my friend.
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Question:
The numerator of a fraction is 3 less than its denominator. If we add 1 to both numerator and denominator it becomes equal to 1/2. Find the fraction.
Answer:
2/3
Step-by-step explanation:
Let the fraction be m/n
⇒ Numerator = m
⇒ Denominator = n
Given,
m = n - 3 ------①
(m + 1) / (n + 1) = 1/2 ------②
Putting equation ① in equation ② →
(n - 3 + 1) / (n + 1) = 1/2
∴ (n - 2) / (n + 1) = 1/2
∴ 2(n - 2) = 1(n + 1)
∴ 2n - 4 = n + 1
∴ 2n - n = 1 + 4
∴ n = 5 -----③
Put equation ③ in equation ① →
m = n - 3
⇒ m = 5 - 3
⇒ m = 2
As our fraction was m/n, the fraction = 2/3
Cheers :)
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