## If 2 is subtracted from numerator and 1 is added to denominator a fraction becomes 1/2 but when 4 is added to numerator and 3 is subtracted

Question

If 2 is subtracted from numerator and 1 is added to denominator a fraction becomes 1/2 but when 4 is added to numerator and 3 is subtracted from the denominator it becomes 3/2 find the fraction

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2 weeks 2021-11-25T07:48:04+00:00 1 Answer 0 views 0

## Answers ( )

1. Answer:

the fraction is 8/11

Step-by-step explanation:

let the franction be x/y

according to the question

x-2 = 1

y+1 2

2x – 4 = y+1

y= 2x -4 – 1

y = 2x – 5

x+4 = 3

y-3 2

2x+ 8 = 3y -9

2x + 8 = 3( 2x – 5) -9 (substituting the value of y)

8+9 = 6x – 15 -2x

17+15 = 4x

32/4 = x

x = 8

y = 2x – 5

2×8 – 5

16 – 5

11

therefore the fraction is 8

11