The denominator of a rational number is 4 more than the numerator. if the numerator and the denominator are increased by 1 each, the rational number becomes 1/2. find the number
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Step-by-step explanation:
The denominator of a rational number is greater then its numerator by 4. If the numerator is increased by 11 and the denominator is decreased by 1, the new number becomes 7/3.
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Given:
- The denominator of a rational number is greater than its numerator by 4.If the numerator and the denominator are increased by 1 each, the rational number becomes 1/2.
To find:
- Original Fraction
Solution:
As Given that Denominator of a rational number is greater than its numerator by 4 .
So ,
Now ,
- If the numerator and the denominator are increased by 1 each, the rational number becomes 1/2.
According to the question:
- Value of x is 3.
Therefore,
- Hence, the rational number is 3/7.
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