Answer:
a. 2, 3, 6
b. a/b × c = 1
c. a = 2, b = 6, c = 3 or a = 3, b = 6, c = 2
Explanation:
Apparently, Erica wants to multiply a fraction by a whole number to get a result of 1. That means the fraction is the multiplicative inverse of the whole number.
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a.
There is only one set of three unique numbers among those given such that one of them is a composite number with the other two as factors. Erica must choose 2, 3, and 6.
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b.
If the three numbers are represented by a, b, c, Erica wants ...
a/b × c = 1
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c.
Multiplying the equation by b gives ...
ac = b
Among the numbers 1–6, only 2×3 = 6 will satisfy this equation. Erica can choose either of ...
a = 2, b = 6, c = 3 ⇒ (2/6)×3 = 1
a = 3, b = 6, c = 2 ⇒ (3/6)×2 = 1
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d.
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