Question

Помогите решить примеры с дробями,пожалуйста."запишите дроби 5\16,7\24,13\30 в порядке возрастания,а дроби 5\36,7\48,11\54 в порядке убывания".

Answer 1

В порядке возрастания:
5/16,7/24,13/30.
в порядке убывания:
11/54,7/48,5/36

Answer 2

Ordering Fractions

To order fractions, we need to compare their values. One way to compare fractions is to find a common denominator and then compare the numerators. Let's solve the given problem step by step.

First, let's order the fractions 5/16, 7/24, and 13/30 in ascending order:

1. Find a common denominator for the fractions. In this case, the least common multiple (LCM) of 16, 24, and 30 is 240.

2. Convert each fraction to an equivalent fraction with the common denominator of 240:

- 5/16 = (5/16) * (15/15) = 75/240 - 7/24 = (7/24) * (10/10) = 70/240 - 13/30 = (13/30) * (8/8) = 104/240

3. Now, compare the numerators of the fractions:

- 70/240 < 75/240 < 104/240

Therefore, the fractions 5/16, 7/24, and 13/30, in ascending order, are 7/24, 5/16, 13/30.

Next, let's order the fractions 5/36, 7/48, and 11/54 in descending order:

1. Find a common denominator for the fractions. In this case, the least common multiple (LCM) of 36, 48, and 54 is 432.

2. Convert each fraction to an equivalent fraction with the common denominator of 432:

- 5/36 = (5/36) * (12/12) = 60/432 - 7/48 = (7/48) * (9/9) = 63/432 - 11/54 = (11/54) * (8/8) = 88/432

3. Now, compare the numerators of the fractions:

- 88/432 > 63/432 > 60/432

Therefore, the fractions 5/36, 7/48, and 11/54, in descending order, are 11/54, 7/48, 5/36.

I hope this helps! Let me know if you have any further questions.