Question

the denominator of a fraction is 2less then twice the numerator. if 3 is added to numerator and denominator both the new fraction is 2/3.find the original fraction. ​

Answer 1

Answer:

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Answer 2

Answer:

The value of the fraction is 11/20

Step-by-step explanation:

Given conditions:

Let the fraction be n/d

d = 2n-2

3+n/3+d = 2/3

Applying the value of d in terms of n,

3+n/3+2n-2 = 2/3

3+n/2n-1 = 2/3

Cross multiplying,

2(2n-1) = 3(3+n)

4n-2 = 9+3n

4n-3n = 9+2

n = 11

Using the value of n in d,

d = 2(11) - 2

d = 20

Therefore, the fraction is 11/20