Question #194a6

1 Answer
Aug 30, 2017

(1, 2, 3, 5, 6, 10, 15, 30)

Explanation:

Reducing a fraction means that you found some integer that divides the numerator and the denominator, meaning that, that number is a divisor of both of them.

Looking at a number and its divisors, they are all a product of the prime factors of the number. So now we find the factors of 30 and they are: 2, 3 and 5, so that #2xx3xx5=30#

Now taking them separately, all the divisors of 30 are:
- #2#
- #3#
- #5#
- #2xx3=6#
- #2xx5=10#
- #3xx5=15#
- #2xx3xx5=30#

So, all the possible denominators are (1, 2, 3, 5, 6, 10, 15, 30)