Calculate the value of: 7 + 5 minus (3/2 multiplied by 1/4) of 2/7 plus (7/2 times 1/6). What is the result?

Explanation

First, compute (3/2 × 1/4) × 2/7 = (3/8) × 2/7 = 3/28. Then, calculate 7/2 × 1/6 = 7/12. The expression becomes 7 + 5 - 3/28 + 7/12 = 12 - 3/28 + 7/12. Find a common denominator for the fractions 3/28 and 7/12, which is 84. Converting, we get 9/84 and 49/84 respectively. So, 12 - 9/84 + 49/84 = 12 + 40/84 = 12 + 10/21. Converting back to a fraction with denominator 224, this equals 12 25/224.