1/6+8/15+3/28-2/35-7/44 Why

1/6+8/15+3/28-2/35-7/44 Why

First, divide 1 / 6 and 8 / 15, because both 6 and 15 contain factor 31 / 6 + 8 / 15 = 5 / 30 + 16 / 30 = 21 / 30 = 7 / 10, and divide 3 / 28 and 2 / 35, because both 28 and 35 contain factor 7328-2 / 35 = 15 / 140-8 / 140 = 7 / 140 = 1 / 20. Then, divide 7 / 10 and 1 / 20, because both 10 and 20 contain factor 107 / 10 + 1 / 20 = 14 / 20 + 1 / 20 = 15 / 20