Question

than u vub
4. The denominator of a rational number is 5 less than its numerator. If 5 is added to the numerator, the new number becomes 11/6. Find the original rational number.
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Answer 1

Answer:

The original rational no. is 6/1 or 6

Step-by-step explanation:

Let the. numerator be x

So, denominator is (x-5)

Thus, the rational no. is x/x-5

Now,

If 5 is added to the numerator the rational no. becomes = x+5/x

According to the question,

x+5/x = 11/6

6(x+5) = 11x

6x+30 = 11x

6x+30-11x = 0

-5x+30 = 0

-5x = -30

x = -30/-5

x = 6

Thus the original numerator is x = 6

and original denominator = x-5 = 1

Thus,the original rational no. is 6/1 or 6