Найдите значение выражения: 1) (11/18 - 4/9) * 3/16; 6) 1 3/25 * 2 1/7 - 2 1/9 * 27/190; 2) 11/18 - 4/9 * 3/16; 7) 4 7/12 * 1 3/11 + 1 1/15 * 45/64; 3) 1 3/5 * (3/4 + 1 3/8); 8) (8 - 2 1/7 * 3 1/9) * 27/44; 4) 1 3/5 * 3/4 + 1 3/8; 9) (4/5 + 4/7) * (7 11/12 - 5 7/9); 5) 13 4/5 - 3 1/5 * 3 3/4; 10) 4/5 + 4/7 * (7 11/12 - 5 7/9).

Question

Дарья Зайцева

Математика

31 мая, 22:03

Найдите значение выражения: 1) (11/18 - 4/9) * 3/16; 6) 1 3/25 * 2 1/7 - 2 1/9 * 27/190; 2) 11/18 - 4/9 * 3/16; 7) 4 7/12 * 1 3/11 + 1 1/15 * 45/64; 3) 1 3/5 * (3/4 + 1 3/8); 8) (8 - 2 1/7 * 3 1/9) * 27/44; 4) 1 3/5 * 3/4 + 1 3/8; 9) (4/5 + 4/7) * (7 11/12 - 5 7/9); 5) 13 4/5 - 3 1/5 * 3 3/4; 10) 4/5 + 4/7 * (7 11/12 - 5 7/9).

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Хомяча · Answer 1

1) (11/18 - 4/9) * 3/16 = (11-8) / 18 * 3/16=3/18 * 3/16=1/2 * 1/16;

2) 11/18 - 4/9 * 3/16=11/18 - 1/12 = (22-3) / 36=19/36;

3) 1 3/5 * (3/4 + 1 3/8) = 8/5 * (6/8+1 3/8) = 8/5 * 1 9/8=8/5 * 2 1/8=8/5 * 17/8=1/5 * 17/1=

17/5=3 2/5;

4) 1 3/5 * 3/4 + 1 3/8=8/5 * 3/4+1 3/8=6/5+1+3/8=1 + (48+15) / 40=1+63/40=2 23/40;

5) 13 4/5 - 3 1/5 * 3 3/4=13 4/5-16/5 * 15/4=13 4/5-4/1 * 3/1=13 4/5-12=1 4/5;

6) 1 3/25 * 2 1/7 - 2 1/9 * 27/190=28/25 * 15/7-19/9 * 27/190=4/5 * 3/1-1/1 * 3/10=

12/5 - 3/10 = (24-3) / 10=21/10=2 1/10;

7) 4 7/12 * 1 3/11 + 1 1/15 * 45/64=55/12 * 14/11+16/15 * 45/64=5/6 * 7/1+1/1 * 3/4=

35/6 + 3/4 = (70+9) / 12=79/12=6 7/12;

8) (8 - 2 1/7 * 3 1/9) * 27/44 = (8 - 15/7 * 28/9) * 27/44 = (8 - 5/1 * 4/3) * 27/44=

(8 - 20/3) * 27/44 = (8-6 2/3) * 27/44=1 1/3 * 27/44=4/3 * 27/44=1/1 * 9/11=9/11;

9) (4/5 + 4/7) * (7 11/12 - 5 7/9) = (28+20) / 35 * (2+11/12-7/9) = 48/35 * (2 + (33-28) / 36) =

48/35 * (2+5/36) 48/35 * 77/36=4/5 * 11/3=44/15=2 14/15;

10) 4/5 + 4/7 * (7 11/12 - 5 7/9) = 4/5 + 4/7 * (2+11/12-7/9) = 4/5+4/7 * 77/36=

4/5+1/1 * 11/9=4/5+11/9 = (4*9+11*5) / 45 = (36+55) / 45=91/45=2 1/45.