Final answer:
To evaluate the fraction (9a-18)/(9(a+2)) with a=29, we substitute the value to get 243/279. After simplifying, the fraction reduces to its simplest form, which is 27/31.
Step-by-step explanation:
The question asks to evaluate the fraction for the value a=29 before and after reducing it to its simplest form. The fraction given is (9a-18)/(9(a+2)). To evaluate this fraction, we substitute a with 29.
(9*29-18)/(9*(29+2)) = (261-18)/(9*31) = 243/279
Now we simplify the fraction by finding the greatest common divisor of the numerator and the denominator. In this case, both 243 and 279 are divisible by 9.
243/279 = (27*9)/(31*9) = 27/31
After reducing, the fraction in its simplest form is 27/31. This value cannot be reduced any further since 27 and 31 have no common divisors other than 1.