Question

Расставить дроби в порядке возрастания: 5/6, 5/16, 1/4, 1/33

Answer 1

Найдём НОК чисел 6, 16, 4, 33
6 = 2 * 3
16 = 2⁴
4 = 2²
33 = 3 * 11
НОК(6, 16, 4, 33) = 2⁴ * 3 * 11 = 16 * 33 = 528

Приведём все дроби к общему знаменателю 528.
5/6 = 440/528
5/16 = 165/528
1/4 = 132/528
1/33 = 16/528
Сравним числители дробей
16 < 132 < 165 < 440
1/33 < 1/4 < 5/16 < 5/6

Данное задание можно делать и несколько иначе:
5/6 > 5/16, так как знаменатель первой дроби меньше знаменателя второй
По тому же принципу 1/4 > 1/33
1/4 = 4/16
5/16 > 4/16  ⇒  5/16 > 1/4
Откуда получаем ряд 1/33 < 1/4 < 5/16 < 5/6

Ответ: 1/33, 1/4, 5/16, 5/6

Answer 2

To arrange the fractions in ascending order, you need to compare their values and sort them accordingly. One way to do this is to convert all fractions to a common denominator and then compare their numerators. Here's how you can do it step-by-step:

Step 1: Find a common denominator for all the fractions. In this case, the least common multiple (LCM) of the denominators is 33 (6, 16, 4, and 33 have 6, 16, 4, and 33 as their respective denominators).

Step 2: Convert all fractions to have the same denominator (33 in this case).

Step 3: Compare and sort the fractions based on their numerators.

Here are the fractions arranged in ascending order:

1. 1/33
2. 5/16
3. 1/4
4. 5/6

The fractions have been arranged from smallest to largest based on their values.