Determine if the following pair of fractions is equivalent.

• A. Yes
• B. No
• C. Cannot be determined.

Answer: (A)

Verified step by step guidance

1. Step 1: Understand that two fractions are equivalent if they represent the same value when simplified or when their cross products are equal.
2. Step 2: Simplify each fraction separately. For the first fraction, \(\frac{9}{4}\), check if numerator and denominator have common factors to reduce it.
3. Step 3: Simplify the second fraction, \(\frac{27}{12}\), by dividing numerator and denominator by their greatest common divisor (GCD).
4. Step 4: Compare the simplified forms of both fractions to see if they are identical.
5. Step 5: Alternatively, use cross multiplication: multiply numerator of the first fraction by denominator of the second, and numerator of the second fraction by denominator of the first. If the products are equal, the fractions are equivalent.