Verified answer

Answer:

13/18

Step-by-step explanation:

Let's solve this problem step by step.

Let's assume the original fraction is represented as "x/y," where x is the numerator and y is the denominator.

According to the given information, the numerator is 5 less than the denominator:

x = y - 5

When two is added to both the numerator and the denominator, a new fraction is formed, which is 3/4:

(x + 2)/(y + 2) = 3/4

We can use these two equations to solve for the original fraction.

Substituting x = y - 5 into the second equation:

((y - 5) + 2)/(y + 2) = 3/4

Simplifying the equation:

(y - 3)/(y + 2) = 3/4

Cross-multiplying:

4(y - 3) = 3(y + 2)

4y - 12 = 3y + 6

Subtracting 3y from both sides and adding 12 to both sides:

y = 18

Now, substitute the value of y back into the first equation to find x:

x = y - 5

x = 18 - 5

x = 13

Therefore, the original fraction is 13/18.

Answer:

Let the denominator be x

Fraction= x

x−5x+3x−5+3 = 54x+3x−2= 54

5(x−2)=4(x+3)

5x−4x=12+10

x=22

So, numerator=x−5=22−5=17

and denominator=22

So, the original fraction= 22/17

this is your answer and Happy birthday in advance