Question

The numerator of a rational number is 4 less than the denominator. If 1 is added to both numerator and denominator, the number becomes 1/2. Find rational number​

Answer 1

Step-by-step explanation:

Let the denominator of the rational no. be x.

Then, numerator (n)=x−4

Add 1 to both numerator and denominator, 

Denominator = x+1 and Numerator =x−4+1=x−3

$= > \frac{x - 3}{ x + 1} = \frac{1}{8}$

$= > 8x - 24 = x + 1$

$= 7x = 25$

$x = \frac{25}{7}$

$numerator \: = \frac{25}{7} - 4 = \frac{25 - 28}{7} = \frac{ - 3}{7}$

$rational \: number \: = \frac{ - 3}{7} \times \frac{7}{25} = \frac{ - 3}{25}$

_________________________

Define :

Rational Numbers: The numbers of the form m /n

are called Rational Numbers .

Answer 2

Answer:

Step-by-step explanation:

Let the denominator be= d

then, numerator = d-4

Rational number = d-4/d

If 1 is added to both the numerator and denominator,

Then, numerator= d-4 +1

Denominator = d+1

d-4 +1/ d+1 = 1/2

d-3 = 1/2 (d+1)

d-3 = d+1 /2

(d-3)2 = d+1

2d-6 = d+1

2d-d = 1+6

d = 7

Rational no. = 7-4 /7

=3/7

VERIFY-

3+1/ 7+1

=4/8 or 1/2