The value of (51⁄9 − 77⁄8 ÷ 99⁄20) ÷ 1.2̅ − (51⁄4 ÷ 3⁄7 of 1⁄4 × 2⁄7) × 3⁄14 + 3⁄4 is:

Explanation

7 7/8 ÷ 9 9/20 = 5/6, so 5 1/9 − 5/6 = 77/18. Dividing by 1.2̅ (= 11/9) gives 7/2. Next, 5 1/4 ÷ (3/7 of 1/4) × 2/7 = 21/4 × 28/3 × 2/7 = 14, and 14 × 3/14 = 3. Value = 7/2 − 3 + 3/4 = 5/4 = 1 1/4.