alleryStart learning →Multiplying two thirds by three halves gives one, which shows the two fractions are:
AEquivalents
BBoth improper
CBoth simplified
DReciprocals
Answer & Solution
Correct answer: D. Reciprocals
1. The product identifies the relationship.
2. Two thirds and three halves are upside-down versions of one another.
3. If we were to multiply these pairs of fractions, the product would be one.
4. Such pairs of numbers are called reciprocals.
5. So a product of one shows the pair are reciprocals.
_Source: OpenStax Prealgebra 2e (CC BY 4.0), Ch 4 'Fractions', sections 4.1-4.7_
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