Question

the denominator of a rational number is greater than its numerator by 3 if numerator and denominator increased by 1 and 4 respectively the number obtained is 1 by 2 find the rational number

Answer 1

Heya user
here is your answer


let the numerator = x
so denominator = x+3
so the rational number = x/x+3

if the numerator decreased by 1 = x-1
if the denominator decreased by 4
= (x+3)-4
= x+3-4
= x-1
so the number formed = (x-1)/(x-1)

so according to the question
(x-1)/(x-1) = 1/2

=> x-1 = 1/2 × (x-1)

=> x-1 = (x-1)/2

=> x = (x-1)/2 + 1

=> x = [(x-1) + 2]/2

=> x = [ x-1+2 ] /2

=> x = (x+1)/2

=> x = x/2 + 1/2

=> x - x/2 = 1/2

=> (2x - x)/2 =1/2

=> x/2 = 1/2

=> x = 1/2 × 2

=> x = 1


So numerator = x = 1
denominator = x+3 = 1+3 = 4

Hence the rational number is 1/4


HOPE THIS HELPS
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thanks

- sneha

Answer 2

Answer:

5/8

Step-by-step explanation:

mark it as the brainliest