1. найдите произведение а) 5/9*7/8 б) 4/27*9/16 в) 1 7/33*1 7/15 г) 5 5/6*2 4/7 д) 1 5/12*24 2 выполни действия а) 1 1/35 - (7-5 4/9) б) (4,5:1,8-1,05) - 2,4

№1:

а) 5/9 * 7/8 = (5 * 7) / (9 * 8) = 35/72.

б) 4/27 * 9/16 = (4 * 9) / (27 * 16) = 36/432 на 36 = 1/12.

в) 1 7/33 * 1 7/15 = (40 * 22) / (33 * 15) = 880/495 на 55 = 16/9 = 1 7/9.

1 7/33 = (33 + 7) / 33 = 40/33.

1 7/15 = (15 + 7) / 15 = 22/15.

г) 5 5/6 * 2 4/7 = (35 * 18) / (6 * 7) = 630/42 = 15.

5 5/6 = (5 * 6 + 5) / 6 = 35/6.

2 4/7 = (14 + 4) / 7 = 18/7.

д) 1 5/12 * 24 = (17 * 24) / (12 * 1) = 408/12 = 34.

1 5/12 = (12 + 5) / 12 = 17/12.

№2:

а) 1 1/35 - (7 - 5 4/9) = - 166/315.

7 = 6 9/9 = (6 * 9 + 9) / 9 = 63/9.

5 4/9 = (5 * 9 + 4) / 9 = 49/9.

1 1/35 = (35 + 1) / 35 = 36/35.

1. 63/9 - 49/9 = 14/9.

2. 36/35 - 14/9 = (324 - 490) / 315 = - 166/315.

б) (4,5 / 1,8 - 1,05) - 2,4 = - 0,95.

1. 4,5 / 1,8 = 2,5 - 1,05 = 1,45 - 2,4 = - 0,95.