The denominator of a fraction in the simplest form is greater than the numerator by 1. If 4 is added to the numerator, and 3 is subtracted from the denominator, then the fraction itself is increased by 2 1/6 . Find the original fraction.

The original fraction is equal to  

Step-by-step explanation:

Let

The fraction in the simplest form equal to  

we know that

The denominator of a fraction in the simplest form is greater than the numerator by 1

so

----> equation A

If 4 is added to the numerator, and 3 is subtracted from the denominator, then the fraction itself is increased by 2 1/6

Remember that

so

----> equation B

substitute equation A in equation B

solve for x

Multiply in cross    

solve the quadratic equation by graphing

The solution is x=5

therefore

Find the value of y

The original fraction is equal to  

b. 13

step-by-step explanation:

as there are 13 students in bowling class therefore the most reasonable answer is b as only 13 students are in the bowling class.

if you are looking for the unit rate then the answer would be 9 because unit rate is distance divided by time.

step-by-step explanation: