Question

14. In a fraction, twice the numerator is 2 more than the denominator. If 3 is addes
Find the original fractie
2
numerator and to the denominator, the new fraction is
3
OBJE
15. The length of a rectandle cynnoda
hrandth hy 7 cm. If the length is decrease​

Answer 1

Answer:

1

In a fraction, twice the numerator is 2 more than the denominator. If 3 is added to both the numerator and the denominator, the new fraction is 2/3. What is the original fraction?

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.

Step-by-step explanation:

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