найдите значение выражения 3 5/6 * 5/6+2 7/11*5/6 2/3*3 2/7+2/3*2 5/7 вычислить 1) 3/4*1 3/5+1 3/5*1 3/8-1 1/2*1 3/5 = 2) 14/5 * 3/7-14/27*5/7+14/27*3 = 3) 10 5/6*2 11/15+10 5/6*6-8 11/15*10 5/6 = 4) 12 1/7*25+25*1 4/25-25*12 1/7 =

1) 3 5/6 * 5/6+2 7/11 * 5/6 = 5/6 * (3 5/6 + 2 7/11) = 5/6 * (23/6 + 29/11) = 5/6 * (253/66 + 174/66) = 5/6 * (253 + 174) / 66 = 5/6 * 427/66 = (5 * 427) / (6 * 66) = 2135/396 = 5 155/396

Ответ: 5 155/396

2) 2/3 * 3 2/7 + 2/3 * 2 5/7 = 2/3 * (3 2/7 + 2 5/7) = 2/3 * (23/7 + 19/7) = 2/3 * (23 + 19) / 7 = 2/3 * 42/7 = 2/3 * 6 = 2 * 6/3 = 2 * 2 = 4

Ответ: 4

3) 3/4 * 1 3/5 + 1 3/5 * 1 3/8 - 1 1/2 * 1 3/5 = 1 3/5 * (3/4 + 1 3/8 - 1 1/2) = 8/5 * (3/4 + 11/8 - 3/2) = 8/5 * (6/8 + 11/8 - 12/8) = 8/5 * (6 + 11 - 12) / 8 = 8/5 * (17 - 12) / 8 = 8/5 * 5/8 = 5/5 * 8/8 = 1 * 1 = 1

Ответ: 1

4) 14/5 * 3/7 - 14/27 * 5/7 + 14/27 * 3 = 14/5 * 3/7 + 14/27 * ( - 5/7 + 3) = 14/5 * 3/7 + 14/27 * ( - 5/7 + 21/7) = 14/5 * 3/7 + 14/27 * (-5 + 21) / 7 = 14/5 * 3/7 + 14/27 * (21 - 5) / 7 = 14/5 * 3/7 + 14/27 * 16/7 = 3/5 * 14/7 + 16/27 * 14/7 = 3/5 * 2 + 16/27 * 2 = 2 * (3/5 + 16/27) = 2 * (81/135 + 80/135) =

2 * (81 + 80) / 135 = 2 * 161/135 = 322/135 = 2 52/135

Ответ: 2 52/135

5) 10 5/6 * 2 11/15 + 10 5/6 * 6 - 8 11/15 * 10 5/6 = 10 5/6 * (2 11/15 + 6 - 8 11/15) = 10 5/6 * ( - (8 11/15 - 2 11/15) + 6) = 10 5/6 * (-6 + 6) = 10 5/6 * (6 - 6) = 10 5/6 * 0 = 0

Ответ: 0

6) 12 1/7 * 25 + 25 * 1 4/25 - 25 * 12 1/7 = 25 * (12 1/17 + 1 4/25 - 12 1/17) = 25 * (12 1/17 - 12 1/17 + 1 4/25) = 25 * (0 + 1 4/25) = 25 * 1 4/25 = 25 * 29/25 = 29 * 25/25 = 29 * 1 = 29

Ответ: 29