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Iris2442
@Iris2442
August 2022
2
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Решите уровнение:
10/21х-3/14х=9 1/6
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prettypushkova
Verified answer
10/21х - 3/14х = 9 1/6
20/42х - 9/42х = 9 1/6
11/42х = 9 1/6
х = 9 1/6 : 11/42 = 55/6 : 11/42
х = 55/6 * 42/11 = (5*7)/(1*1)
х = 35
----------------------------------
Проверка: 10/21 * 35 - 3/14 * 35 = 9 1/6
50/3 - 15/2 = 9 1/6
100/6 - 45/6 = 9 1/6
55/6 = 9 целых 1/6
Пояснения:
10/21 = 20/42 - доп.множ.2
3/14 = 9/42 - доп.множ.3
9 целых 1/6 = (9*6+1)/6 = 55/6
2 способ. Приводим обе части уравнения к общему знаменателю 42
10/21х - 3/14х = 9 1/6
10/21х - 3/14х = 55/6
20/42х - 9/42х = 385/42
20х - 9х = 385
11х = 385
х = 385 : 11
х = 35
2 votes
Thanks 5
sedinalana
10/х/21-3х/14=55/6 /*42
20х-9х=385
11х=385
х=385:11
х=35
0 votes
Thanks 0
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Answers & Comments
Verified answer
10/21х - 3/14х = 9 1/620/42х - 9/42х = 9 1/6
11/42х = 9 1/6
х = 9 1/6 : 11/42 = 55/6 : 11/42
х = 55/6 * 42/11 = (5*7)/(1*1)
х = 35
----------------------------------
Проверка: 10/21 * 35 - 3/14 * 35 = 9 1/6
50/3 - 15/2 = 9 1/6
100/6 - 45/6 = 9 1/6
55/6 = 9 целых 1/6
Пояснения:
10/21 = 20/42 - доп.множ.2
3/14 = 9/42 - доп.множ.3
9 целых 1/6 = (9*6+1)/6 = 55/6
2 способ. Приводим обе части уравнения к общему знаменателю 42
10/21х - 3/14х = 9 1/6
10/21х - 3/14х = 55/6
20/42х - 9/42х = 385/42
20х - 9х = 385
11х = 385
х = 385 : 11
х = 35
20х-9х=385
11х=385
х=385:11
х=35