Question

can you please give the equation for this problem?


The numerator of a rational number exceeds it denominator by 3. If 1 is added to the denominator and 5 is subtracted from the numerator, the value of the rational number becomes 1/2. What is the rational number?

Answer 1

suppose denominator of the rational no is x then fraction= (x+3)/x
(x+3-5)/(x+1)= 1/2

Answer 2

The numerator of a rational number exceeds it denominator by 3.
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(x + 3)/x

If 1 is added to the denominator and 5 is subtracted from the numerator
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(x + 3 -5) / (x + 1) = 1/2
(x-2)/(x + 1) = 1/2
x = 5 so the original rational number is (5+3)/5 = 8/5.

Answer 3

@danielle02 Question? The task was to find the rational number.

Answer 4

@Directrix yes, the rational number is being asked

Answer 5

@danielle02

Do you agree that the rational number = 8/5 ?

Answer 6

@Directrix the rational number is 5. not 8/5

Answer 7

The solution to this equation (x-2)/(x + 1) = 1/2
is x = 5 but x is not the original rational number.
The original rational number is described here:
The numerator of a rational number exceeds it denominator by 3"
It would look like (x + 3 ) / x. x turned out to be 5.
Substituting, (5 + 3) /x = 8/5 for the rational number.
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Check it.
8/5
If 1 is added to the denominator and 5 is subtracted from the numerator -->rational number becomes 1/2

(8 - 5) / (5 + 1) = 3/6 = 1/2.
8/5 works.

Answer 8

@danielle02

Answer 9

thanks for your help :) i checked it again and it turns out, you were right.

Answer 10

Okay. Have you done the age problem yet?