if be add 1 to the numerator and subtract 1 from the denominator of fraction reduce to 1 it become 1/2 if be only at 1 denominator what is the fraction
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Let a/b represent the fraction.
Adding one to the numerator and subtracting one from the denominator produces the fraction (a+1) / (b-1), which is equal to one. Therefore:
a + 1 = b - 1
or
a + 2 = b
Adding one to the denominator only gives the fraction (a+1) / b, which is 1/2, so:
a / (b + 1) = 1 / 2
2a / (b + 1) = 1
or
2a = b + 1
2a - 1 = b
Therefore (eliminating b):
a + 2 = 2a -1
3 = a
Since b=a+2, the fraction a/b is: 3 / 5.
Adding one to the numerator and subtracting one from the denominator produces the fraction (a+1) / (b-1), which is equal to one. Therefore:
a + 1 = b - 1
or
a + 2 = b
Adding one to the denominator only gives the fraction (a+1) / b, which is 1/2, so:
a / (b + 1) = 1 / 2
2a / (b + 1) = 1
or
2a = b + 1
2a - 1 = b
Therefore (eliminating b):
a + 2 = 2a -1
3 = a
Since b=a+2, the fraction a/b is: 3 / 5.
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