Question

Номер 702.а) Определите, какая из дробей 15/17, 7/17,3/17 12/17,9/17 наименьшая и какая наибольшая. Расположите дроби в порядке возрастания.Номер 704.Опишите алгоритм сравнения дробей с разными знаменателями. Сравните дроби и запишите результат с помощью знаков >,< или =Пожалуйста помогите 2 номеразаранее (спасибо)♥♥♥

Answer 1

А) 3/17     7/17     9/17    12/17    15/17

Answer 2

Answer 702a:

To determine which of the fractions 15/17, 7/17, 3/17, and 12/17 is the smallest and which is the largest, we can compare them by finding a common denominator and then comparing the numerators.

To find the common denominator, we need to find the least common multiple (LCM) of the denominators, which in this case is 17. Since all the denominators are the same, we don't need to convert the fractions.

Now, let's compare the numerators:

- 15/17 is greater than 7/17 because 15 is greater than 7. - 15/17 is also greater than 3/17 because 15 is greater than 3. - 15/17 is less than 12/17 because 15 is less than 12.

Therefore, the smallest fraction is 3/17, and the largest fraction is 15/17.

To arrange the fractions in ascending order, we start with the smallest fraction and move towards the largest fraction:

3/17, 7/17, 12/17, 15/17.

Answer 704:

When comparing fractions with different denominators, we need to find a common denominator before making the comparison. Here is an algorithm to compare fractions with different denominators:

1. Find the least common multiple (LCM) of the denominators. 2. Convert both fractions to have the same denominator using the LCM. 3. Compare the numerators of the fractions.

Let's compare two fractions as an example: 3/4 and 2/5.

1. The LCM of 4 and 5 is 20. 2. Convert 3/4 to have a denominator of 20: (3/4) * (5/5) = 15/20. Convert 2/5 to have a denominator of 20: (2/5) * (4/4) = 8/20. 3. Compare the numerators: 15 is greater than 8.

Therefore, 3/4 is greater than 2/5.

To write the result using the comparison symbols (> or <), we can say:

3/4 > 2/5.

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