The numerator of a rational number is 2 less than the denominator. If 1 is subtracted from both the numerator and the denominator, then the new rational number in its simplest form is 1/2. Find the number.
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Answered by
2
Answer:
3/5
Step-by-step explanation:
Let the numerator be x.
Denominator = x+2
According to Question,
(x-1) / (x+2-1) = 1/2
(x-1) / (x+1) = 1/2
2 (x-1) = 1 (x+1)
2x-2 = x+1
2x - x = 1+2
x = 3
Hence, numerator = 3
Denominator = 3+2 = 5
Therefore, rational number = 3/5
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