Question

the numerator of a rational number is less than its denominator 6.if 3 is added to the numerator and 1 subtracted from the denominator, then the new number becomes 3/4.the original number in ____​

Answer 1

Answer:

1/4

Step-by-step explanation:

Let the denominator be x.

Thus, numerator will be x−3.

As per the question, we have

numerator is 3 times i.e., 3(x−3) and denominator is increased by 20 i.e., x+20.

The new number thus formed is  

8

1

​

.

Therefore,  

x+20

3(x−3)

​

=

8

1

​

⇒24(x−3)=1(x+20)

⇒24x−72=x+20

⇒23x=92

⇒x=4

Denominator is 4.

Thus, numerator is x−3=4−3=1

Therefore, the fraction is  

4

1

​

.