Final answer:
The two fractions that multiply together to give 9/28 are 6/23 and 2/7.
Step-by-step explanation:
To find the two fractions that multiply together to give 9/28, we need to look for pairs of fractions that multiply to give this product. Starting with the given fractions: 1/4, 6/23, 2/7, 3/5, and 8/9, we need to test the combinations. After trying out different pairs, we find that the fractions 6/23 and 2/7 multiply together to give 9/28.