Question

Question #194a6

Answer 1

(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)