Question

if three is subtracted from the numerator and five is added to the denominator of a fraction , the new fraction is 1/2 . if two is added to the numerator of the initial fraction the ratio of the new numerator to the denominator becomes 1 : 1 . find original fraction​

Answer 1

Answer:

Let the numerator and denominator of the fraction be 2x and 3x

Therefore, the original fraction is  

3x

2x

​  

 

Given,  

3x

2x−6

​  

=  

3

2

​  

×  

3x

2x

​  

 

⇒  

3x

2x−6

​  

=  

9

4

​  

 

⇒18x−54=12x

⇒6x=54

⇒x=9

The numerator of the fraction is 2×9=18

Step-by-step explanation: