Calculation: 41 (1 / 3) × 3 / 4 + 51 (1 / 4) × 4 / 5 + 61 (1 / 5) × 5 / 6 + 71 (1 / 6) × 6 / 7 + 81 (1 / 7) + 7 / 8 + 91 (1 / 8) × 8 / 9

Calculation: 41 (1 / 3) × 3 / 4 + 51 (1 / 4) × 4 / 5 + 61 (1 / 5) × 5 / 6 + 71 (1 / 6) × 6 / 7 + 81 (1 / 7) + 7 / 8 + 91 (1 / 8) × 8 / 9

41 × 1 / 3 × 3 / 4 = 41 × 1 / 4 = (40 + 1) × 1 / 4 = 10 + 1 / 4, the other factors are arranged in the same way, so the original formula = [10 + 1 / 4] + [10 + 1 / 5] + [10 + 1 / 6] + [10 + 1 / 7] + [10 + 1 / 8] + [10 + 1 / 9] = 60 + [1 / 4 + 1 / 5 + 1 / 6 + 1 / 7 + 1 / 8 + 1 / 9]

Calculation: 7116 × 67 + 6115 × 56 + 5114 × 45 + 4113 × 34 + 3112 × 23=______ ．

The answer is: 7116 × 67 + 6115 × 56 + 5114 × 45 + 4113 × 34 + 3112 × 23, = (70 + 76) × 67 + (60 + 65) × 56 + (50 + 54) × 45 + (40 + 43) × 34 + (30 + 32) × 23, = 60 + 1 + 50 + 1 + 40 + 1 + 30 + 1 + 20 + 1, = 205

Fourth grade recursive equation calculation, can be easily calculated to be simple: 51 * 96 / (17 * 12)

51*96/（17*12）
=(51/17)*(96/12)
=3*8
=24