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To determine whether the fractions \(\frac{2}{7}\) and \(\frac{4}{14}\) are equivalent, we will cross multiply.

Cross multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction and comparing the results. Specifically, we compare:

\[
2 \times 14 \quad \text{and} \quad 4 \times 7
\]

Let's calculate both sides:

- \(2 \times 14 = 28\)
- \(4 \times 7 = 28\)

Since both products are equal (\(28 = 28\)), the fractions \(\frac{2}{7}\) and \(\frac{4}{14}\) are indeed equivalent.

Would you like more details or have any further questions?

Here are five related questions to extend your understanding:
1. How do you simplify a fraction like \(\frac{4}{14}\) directly without cross-multiplying?
2. Can cross-multiplying always determine the equivalence of any two fractions?
3. What is the general process for reducing fractions to their simplest form?
4. What is the least common denominator, and how is it used to compare fractions?
5. How would you solve for an unknown variable in a cross-multiplication problem like \(\frac{a}{7} = \frac{4}{14}\)?

**Tip:** Cross multiplication is a handy method for checking equivalence of fractions but doesn’t simplify the fractions directly. Always consider simplifying both fractions first for clarity.

Cross multiply to determine whether the fractions 2/7 and 4/14 are equivalent.

Learn how to determine if the fractions 2/7 and 4/14 are equivalent using cross multiplication. This method helps students in Grades 6-8 compare fractions efficiently, with a step-by-step explanation.

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