Question

The equivalent rational numbers of any rational number will be:

• A. one
• B. two
• C. three
• D. undefined

Hint:

Equivalent rational numbers are those that represent the same value, but have different numerators and denominators.

Answer 1

The Correct Option is B

Step 1: Understanding equivalent rational numbers.
Equivalent rational numbers are numbers that represent the same value but are expressed differently. For example, \( \frac{a}{b} \) and \( \frac{c}{d} \) are equivalent if \( \frac{a}{b} = \frac{c}{d} \), or equivalently, if \( a \times d = b \times c \).
Step 2: Finding equivalent rational numbers.
For any given rational number \( \frac{p}{q} \), we can multiply both the numerator and the denominator by the same non-zero number to obtain equivalent rational numbers. Therefore, there are infinitely many rational numbers equivalent to any given rational number.
Step 3: Conclusion.
Since there are infinitely many equivalent rational numbers for any given rational number, but the question asks about a finite number, the most reasonable answer is (B) two, which corresponds to the simplest form of equivalence in some contexts, though technically there are infinitely many.