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Q.

The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 and the denominator is decreased by 1, then the expression for a new denominator is ____.


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Detailed Solution

The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 and the denominator is decreased by 1, then the expression for a new denominator is x+9.
Suppose the numerator of the rational number is x.
From the question:
Question Image Calculating the denominator:
Question Image Thus, the required new denominator of the rational number is: x+9 .
Therefore, (x+9) is the correct answer.
 
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