Question

Задача. Высота зала относится к высоте окна, как 5 3/5(пять целых три пятых):1 3/5(одна целая три пятых). Определите высоту зала, если высота окна 1 1/7(одна целая одна седьмая). Помогите плиз решить. В скобках написала для тех кто не поймет записи. Просто дробью нельзя написать. Кто понял записи, необращайте внимания, помогите задачку решить!;)))

Answer 1

Зал                  Окно
5_3/5=28/5  : 1_3/5=8/5
    ?                1_1/7=8/7 (м)

1) 5_3/5 : 1_3/5=28/5 : 8/5 = 28/5*5/8 = 28/8 = 14/4=3_2/4 = 3_1/2 в 3,5 раза высота зала больше высоты окна
2) 1_1/7 * 3_1/2 = 8/7 * 7/2 = 8/2=4 (м) высота зала

Answer 2

Problem Analysis

We are given that the ratio of the height of a room to the height of a window is 5 3/5 : 1 3/5. We need to determine the height of the room if the height of the window is 1 1/7.

Solution

To solve this problem, we can set up a proportion using the given ratio and the known height of the window.

Let's convert the mixed numbers to improper fractions: - The height of the room is 5 3/5, which can be written as (5 * 5 + 3) / 5 = 28/5. - The height of the window is 1 1/7, which can be written as (1 * 7 + 1) / 7 = 8/7.

Now we can set up the proportion: (Height of the room) / (Height of the window) = (28/5) / (8/7)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction: (28/5) * (7/8) = (28 * 7) / (5 * 8) = 196/40

We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4: (196/4) / (40/4) = 49/10

Therefore, the height of the room is 49/10.

Answer

The height of the room is 49/10.