Question

The numerator of the fraction is 3 less than a denominator. If 1 is added to both numerator and denominator it become 2/3. Find the fraction

Answer 1

the numerator of a fraction is 3 less than its denominator.

n = d - 3

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if we add 1 to both numerator and denominator it becomes equal to 2/3.

%28%28n%2B1%29%29%2F%28%28d%2B1%29%29 = 2%2F3

Cross multiply

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

3n + 3 = 2d + 2

3n = 2d + 2 - 3

3n = 2d - 1

replace n with (d-3), from the 1st equation

3(d-3) = 2d - 1

3d - 9 = 2d - 1

3d - 2d = -1 + 9

d = 8

then

n = 8 - 3

n = 5

therefore

5%2F8 is the fraction?

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Answer 2

Answer:

The no.is 5/8

Step-by-step explanation:

Let the numerator be N and denominator be D

So, the required fraction will be

According to question,

The numerator of a fraction is 3 less than denominator, that is ,

N = D - 3

So, the new fraction is

Also, it is given that if 1 is added to both its numerator and denominator it becomes 2 / 3

Therefore now,

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

3 D - 6 = 2 D + 2

3 D - 2 D = 2 + 6

D = 8

We know,

N = D - 3

N = 8 - 3 = 5

So the fraction =

Hence,

The fraction is

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