Determine if the following pair of fractions is equivalent using cross products.

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

Answer: (B)

Verified step by step guidance

1. Identify the two fractions given: \(\frac{-6}{21}\) and \(\frac{2}{7}\).
2. Recall that two fractions \(\frac{a}{b}\) and \(\frac{c}{d}\) are equivalent if and only if their cross products are equal, i.e., if \(a \times d = b \times c\).
3. Calculate the cross products: multiply the numerator of the first fraction by the denominator of the second fraction, which is \(-6 \times 7\).
4. Calculate the other cross product: multiply the denominator of the first fraction by the numerator of the second fraction, which is \(21 \times 2\).
5. Compare the two cross products obtained. If they are equal, the fractions are equivalent; if not, they are not equivalent.