(1 5/6+2 4/9-1 3/4)*4-(3 1/2-1 7/10)*5 ! - вопрос №8754670156249134431217105 от sofahaos31 20.07.2022 22:17

Question

Математика: (1 5/6+2 4/9-1 3/4)*4-(3 1/2-1 7/10)*5 !

sofahaos31 · Answer

1)1 5/6 + 2 4/9 = 11/6 + 22/9 = (11 × 3 + 22 × 2)/18 = 33/18 + 44/18 = 77/18 = 4 5/18
2)4 5/18 - 1 3/4 = 7/18 - 7/4 = (77 × 2 - 7 × 9)/36 = 154/36 - 63/36 = 91/36 = 2 19/36
3) 3 1/2 - 1 7/10 = 7/2 - 17/10 = (7 × 5 - 17 × 1)/10 = 35/10 - 17/10 = 18/10 = 9/5 = 1 4/5
4) 2 19/36 * 4 = 91/36 * 4 = 91/9 = 10 1/9
5) 1 4/5 * 5 = 9/5 × 5 = 9
6) 10 1/9 - 9 = 91/9 - 9/1=(91 × 1 - 9 × 9)/9 = 91/9 - 81/9 = 10/9 = 1 1/9
ответ : 1 1 /9