Final answer:
The correct answer is option b. 1/3 and 2/3; both 2/6 and 3/9 simplify to 1/3, making them equivalent fractions. When computing the cross products for each as provided, the results are both18, which simplifies to 1/1 or 1.
Step-by-step explanation:
The correct answer is option b. 1/3 and 2/3. When looking at the fractions 2/6 and 3/9, we can simplify both to get their equivalent fractions. The simplified form of 2/6 is 1/3 and the simplified form of 3/9 is also 1/3, confirming that these two fractions are indeed equivalent.
To find the cross products (also known as the products of the means and extremes in the context of proportion), we multiply the numerator of the first fraction by the denominator of the second fraction and the denominator of the first fraction by the numerator of the second fraction.
Thus, for 2/6 and 3/9, the cross products would be 2 × 9 = 18 and 6 × 3 = 18. When we simplify these cross products, we get 18/18 which simplifies to 1/1, or just 1. However, since the options provided don't include these products and the question may have a typo, it's important to note that if we further simplify the fractions 2/6 and 3/9 to their lowest terms, we get 1/3 for both. Therefore, if the question meant to ask for the simplified forms of 2/6 and 3/9, the correct answer would be 1/3 and 2/3.