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Final answer:To find 7/8 ÷ 7/16, multiply 7/8 by the reciprocal of 7/16, which is 16/7. Simplifying the resulting fraction 112/56 gives us 2/1, or simply 2. The correct answer is 2, option D.Explanation:The question asks us to perform the division of two fractions, 7/8 ÷ 7/16, and reduce the answer to the lowest terms. To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 7/16 is 16/7.To solve this, we calculate: 7/8 × 16/7 = (7 × 16) / (8 × 7) = 112 / 56. After performing the multiplication, we simplify the fraction by dividing both the numerator and the denominator by their greatest common factor, which is 56 in this case.The reduced form is 2/1, which is also known as 2. Therefore, the answer to the division problem is 2, which corresponds to option D in the multiple-choice options provided....