The prime factorization of 12 is
12 = 2²×3
To find denominators suitable for your purpose, you need to group the factors
{1, 2, 2, 3}
into two groups with different products that share at least one of the numbers that is not 1.
For example, your grouping could be (2, [2), 3], where a 2 is shared. That is, your denominators could be 2*2=4 and 2*3=6.
Another possible grouping is (1, [2), 2, 3], giving rise to denominators of 2 and 12.
Yet another is (1, [3), 2, 2], for denominators of 3 and 12.
Using the first grouping, a pair of mixed numbers matching your requirement might be
1 3/4, 5 1/6
Step-by-step explanation:
I think this will help you. Thanks.
Answer: $9.25 per ticket.
Explanation:
First, find the total discount that the coupons give them;
6 × 1.50 = $9.00
Next, add the discount amount to what they paid;
$46.50 + $9.00 = $55.50.
$55.50 is the total they would have spent without the coupons.
Then divide the the amount they would have spent by the number of people;
6 ÷ $55.50 = $9.25