Answer:
First possible pairs = (3/7)*(5/8) = 15/56
second possible pairs = (3/4)*(5/14) = 15/56
third possible pairs = (1/2)*(15/28) = 15/56
Step-by-step explanation:
According to the question,
a x b = 15/56
three possible pairs will be as follows:
Before proceeding to make possible pairs, we have to know the prime factorization of the numbers -
15 = 1, 3, 5, 15
56 = 1, 2, 4, 7, 8, 14, 28, 56
As we need three possible pairs, we have to check which pairs take us to 15/56. Again, since the fraction is positive, therefore, the fractions will be proper. Therefore, 3/2, or 5/4 will not be counted. Therefore,
First possible pairs = (3/7)*(5/8) = 15/56
second possible pairs = (3/4)*(5/14) = 15/56
third possible pairs = (1/2)*(15/28) = 15/56
fourth possible pairs = (3/8)*(5/7) = 15/56
So, we can get those four possible pairs. Among those, first 3 pairs are different. Therefore, those are possible pairs.
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