what is the quotient if the difference of 2 1/9 and 1 5/6 is divided by the sum of 2 1/9 and 1 5/6
Answer (1)
Answer:Here's how to solve the problem step-by-step: 1. Convert mixed numbers to fractions: - 2 1/9 = (2 * 9 + 1) / 9 = 19/9- 1 5/6 = (1 * 6 + 5) / 6 = 11/6 2. Calculate the difference of the two fractions: - 19/9 - 11/6 = (19 * 2) / (9 * 2) - (11 * 3) / (6 * 3) = 38/18 - 33/18 = 5/18 3. Calculate the sum of the two fractions: - 19/9 + 11/6 = (19 * 2) / (9 * 2) + (11 * 3) / (6 * 3) = 38/18 + 33/18 = 71/18 4. Divide the difference by the sum: - (5/18) / (71/18) = (5/18) * (18/71) = 5/71 Therefore, the quotient is 5/71.
