Question

16. In a proper fraction, the numerator and the denominator differ each other by 2.if 3 is added to the
numerator and also subtracted from the denominator, the fraction becomes improper. In the new
fraction, numerator is twice the denominator. Find the original fraction ..​

Answer 1

Step-by-step explanation:

Many of these other answers seem a bit confusing. I’ll try to simplify this a bit.

Let’s use x as the numerator, and I’ll explain everything else in terms of x.

From what you are describing, the equation would be (x+3)/(2x+1)=2/3.

I got here firstly by creating the “original fraction, which consists of a numerator x, and a denominator 2x - 2 (two less than twice the numerator). I then added 3 to both the numerator and denominator, and then I simplified them. I then equated this all to 2/3, the fraction you wanted them to equal.

Now, let’s solve this out. We can cross multiply:

(x+3) * 3 = (2x+1) * 2

Now, let’s distribute the 3 and 2:

3x + 9 = 4x + 2

3x + 7 = 4x

-3x -3x

7 = 1x

x=7

Therefore, the original fraction is 7/12.

7/12 add 3 to both the numerator and denominator becomes 10/15, which is 2/3.

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