Question

The denominator of a rational number is greater than the numerator by 9. If the numerator is increased by 2 and the denominator is decreased by 2, then expression for new denominator is——

Answer 1

Given:-

•Denominator of a rational number ia greater than the numerator by 9.

•If the numerator is increased by 2 and the denominator is decreased by 2.

To Find:-

•The new expression for new denominator is

Solution:-

Let consider numerator be x and denominator be (x+10).

Therefore we will get fraction

$\: \: \sf \: \frac{x}{x + 10}$

Now,it is given that numerator is increased by 1 and denominator is decreased by 1.

New numerator=(x+1)

New denominator=(x+10-1)=(x+9)

Therefore,we will have fraction

$\: \: \sf \: \frac{(x + 1)}{(x + 9)}$

Hence,the new expression denominator is (x+9).

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