Question

The numerator of a fraction is 5 less than the denominator. If 9 is added to both numerator and denominator, it becomes 2/3. Find the fraction

Answer 1

Start by writing any missing number as a variable.

If “The numerator of the fraction is five less than the denominator,” then you could write the denominator as x and the numerator as x-5.

That means that the missing fraction is (x-5)/x.

Now you must “add one to the numerator and denominator.”

So the new fraction is (x-5+1)/9x+1) or (x-4)/(x+1).

According to the question, this equals 2/3.

Therefore, we can set up an equation: (x-4)/(x+1) = 2/3.

To solve, cross multiply: 3(x-4) = 2(x+1)

Solve for x:

3x-12 = 2x+2

x=14

Remember, this is only x. You must still plug it into the fraction: (14-5)/14.

Simplify: (9/14).

Answer 2

Answer:

please tell me whether it is right or not...