1. Найдите значение выражения
а) 3 5_8 + 1 2_3
б) 4 4_9 - 2 5_6
в) 6 7_12 + (5 3_40 - 4 8_15)
а) 3 5_8 + 1 2_3
б) 4 4_9 - 2 5_6
в) 6 7_12 + (5 3_40 - 4 8_15)
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Answers & Comments
4 4/9 - 2 5/6 = 40/9 - 17/6 = (40 × 2 - 17 × 3)/18 = 80/18 - 51/18 = 29/18 = 1 11/18
6 7\12 + (5 3\40 - 4 8\15)= 7 43/84
1) 5 3/40 - 4 8/15 = 203/40 - 68/15 = (203 × 3 - 68 × 8)/120 = 609120 - 544/120 = 65/120 = 13/24
2) 6 7/12 + 13/14 = 79/12 + 13/14 = (79 × 7 + 13 × 6)/84 = 553/84 + 78/84 = 631/84 = 7 43/84