The denominator of a rational number is greater than its numerator by 3. If 3 is subtracted from the numerator and 2 is added to its denominator, the new number becomes . Find the original number.
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CORRECT QUESTION.
The denominator of a rational number is greater than it's numerator by 3. if 3 is subtract from the
numerator and 2 is added to it's denominator the new number becomes 1/5 . find the original fraction.
TO FIND ORIGINAL FRACTION.
EXPLANATION
- GIVEN
Let the numerator of the rational number = x
denominator of rational number = x + 3
According to the question
x - 3 / x + 3 + 2 = 1/5
x - 3 / x + 5 = 1/5
5x - 15 = x + 5
4x = 20
x = 5
Therefore,
the original fraction are = x / x + 3
5 / 5 + 3 = 5/8
original fraction = 5 / 8
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