
1 7/12+3 5/95 5/24+2 1/63 1/12+4 2/15


Ответы на вопрос

Ответ:
1. 5 5/36
2. 7 3/8
3. 7 13/60
Пошаговое объяснение:
1. 1 7/12+3 5/9 = 19/12 + 32/9 = 185/36 = 5 5/36
2. 5 5/24+2 1/6 = 125/24 + 13/6 = 177/24 = 7 9/24 = 7 3/8
3. 3 1/12+4 2/15 = 37/12 + 62/15 = 433/60 = 7 13/60



Пошаговое объяснение:
1 7/12+3 5/9=1 21/36+3 20/36=(1+3)+(21/36+20/36)=4+(41/36)=4+1+5/36=5 5/36
5 5/24+2 1/6=5 5/24+2 4/24=(5+2)+(5/24+4/24)=7+9/24=7 9/24=7 3/8
3 1/12+4 2/15=3 5/60+4 8/60=(3+4)+(5/60+8/60)=7+13/60=7 13/60



To solve the addition of the given fractions, let's simplify each fraction and then perform the addition:
1 7/12 = (12 * 1 + 7) / 12 = 19/12
3 5/95 = (95 * 3 + 5) / 95 = 290/95
5/24
2 1/63 = (63 * 2 + 1) / 63 = 127/63
1/12
4 2/15 = (15 * 4 + 2) / 15 = 62/15
Now, let's add these fractions:
19/12 + 290/95 + 5/24 + 127/63 + 1/12 + 62/15
To add these fractions, we need to find a common denominator. The common denominator in this case is 2520, which is the least common multiple of 12, 95, 24, 63, and 15.
Converting each fraction to have a denominator of 2520:
(19/12) * (210/210) = 3990/2520
(290/95) * (24/24) = 6960/2520
(5/24) * (105/105) = 525/2520
(127/63) * (40/40) = 5080/2520
(1/12) * (210/210) = 210/2520
(62/15) * (168/168) = 1032/2520
Now we can add these fractions:
3990/2520 + 6960/2520 + 525/2520 + 5080/2520 + 210/2520 + 1032/2520
Combining the numerators:
(3990 + 6960 + 525 + 5080 + 210 + 1032) / 2520
= 17797/2520
This fraction can be further simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 47:
(17797 ÷ 47) / (2520 ÷ 47) = 379/54
Therefore, the sum of the given fractions is 379/54.


Топ вопросов за вчера в категории Математика
Последние заданные вопросы в категории Математика
-
Математика
-
Литература
-
Алгебра
-
Русский язык
-
Геометрия
-
Английский язык
-
Химия
-
Физика
-
Биология
-
Другие предметы
-
История
-
Обществознание
-
Окружающий мир
-
География
-
Українська мова
-
Информатика
-
Українська література
-
Қазақ тiлi
-
Экономика
-
Музыка
-
Право
-
Беларуская мова
-
Французский язык
-
Немецкий язык
-
МХК
-
ОБЖ
-
Психология
-
Физкультура и спорт
-
Астрономия
-
Кыргыз тили
-
Оʻzbek tili