Question

сравните дроби 2/3 и 3/5 3/4 и 4/5 5/7и 7/9 2/3и 5/9 5/12и3/8 5/8и 7/16 2/11 и 1 4/3 и 1 1и 4/5 5/4 и 1 3/4 и 4/3 11/10 и 10/11 спасибо

Answer 1

2/3 > 3/5 (10/15 > 9/15)

3/4 < 4/5 (15/20 < 16/20)

5/7 < 7/9 (45/63 < 49/63)

2/3 > 5/9 (18/27 > 15/27)

5/12 > 3/8 (40/96 > 36/96)

5/8 > 7/16 (10/16 > 7/16)

2/11 < 1 ( 2/11 < 11/11)

1 > 4/5 (5/5 > 4/5)

5/4 > 1 (5/4 > 4/4)

3/4 < 4/3 (9/12 < 16/12)

11/10 > 10/11 (121/110 > 100/110)

Answer 2

Давайте поочередно сравним данные дроби.

1. Сравнение 2/3 и 3/5: - Находим общий знаменатель, который равен 15. - 2/3 = 10/15, 3/5 = 9/15. - Таким образом, 2/3 больше 3/5.

2. Сравнение 3/4 и 4/5: - Общий знаменатель - 20. - 3/4 = 15/20, 4/5 = 16/20. - 4/5 больше 3/4.

3. Сравнение 5/7 и 7/9: - Общий знаменатель - 63. - 5/7 = 45/63, 7/9 = 49/63. - 7/9 больше 5/7.

4. Сравнение 2/3 и 5/9: - Общий знаменатель - 27. - 2/3 = 18/27, 5/9 = 15/27. - 2/3 больше 5/9.

5. Сравнение 5/12 и 3/8: - Общий знаменатель - 24. - 5/12 = 10/24, 3/8 = 9/24. - 5/12 больше 3/8.

6. Сравнение 5/8 и 7/16: - Общий знаменатель - 16. - 5/8 = 10/16, 7/16 = 7/16. - 5/8 больше 7/16.

7. Сравнение 2/11 и 1: - Общий знаменатель - 11. - 2/11 меньше 11/11, что равно 1.

8. Сравнение 4/3 и 1 4/3: - Преобразуем 1 4/3 в неправильную дробь: 1 4/3 = 3/3 + 4/3 = 7/3. - 4/3 равно 7/3.

9. Сравнение 1 1/4 и 3/4: - Преобразуем 1 1/4 в неправильную дробь: 1 1/4 = 4/4 + 1/4 = 5/4. - 5/4 больше 3/4.

10. Сравнение 4/3 и 11/10: - Общий знаменатель - 30. - 4/3 = 40/30, 11/10 = 33/30. - 4/3 больше 11/10.

11. Сравнение 10/11 и 1 3/4: - Преобразуем 1 3/4 в неправильную дробь: 1 3/4 = 4/4 + 3/4 = 7/4. - 10/11 меньше 7/4.

Итак, выше представлены результаты сравнения данных дробей. Если у вас есть какие-либо дополнительные вопросы или нужны дополнительные пояснения, не стесняйтесь спрашивать!

Answer 3

Comparing Fractions

Let's compare the given fractions:

1. 2/3 and 3/5: - To compare fractions, we can find a common denominator and compare the numerators. - The common denominator for 2/3 and 3/5 is 15. - Multiplying the numerator and denominator of 2/3 by 5, we get 10/15. - Multiplying the numerator and denominator of 3/5 by 3, we get 9/15. - Therefore, 2/3 is greater than 3/5. [[1]]

2. 3/4 and 4/5: - Again, we can find a common denominator and compare the numerators. - The common denominator for 3/4 and 4/5 is 20. - Multiplying the numerator and denominator of 3/4 by 5, we get 15/20. - Multiplying the numerator and denominator of 4/5 by 4, we get 16/20. - Therefore, 4/5 is greater than 3/4. [[2]]

3. 5/7 and 7/9: - Finding a common denominator, we get 63. - Multiplying the numerator and denominator of 5/7 by 9, we get 45/63. - Multiplying the numerator and denominator of 7/9 by 7, we get 49/63. - Therefore, 7/9 is greater than 5/7. [[3]]

4. 2/3 and 5/9: - Finding a common denominator, we get 27. - Multiplying the numerator and denominator of 2/3 by 9, we get 18/27. - Multiplying the numerator and denominator of 5/9 by 3, we get 15/27. - Therefore, 2/3 is greater than 5/9. [[4]]

5. 5/12 and 3/8: - Finding a common denominator, we get 24. - Multiplying the numerator and denominator of 5/12 by 2, we get 10/24. - Multiplying the numerator and denominator of 3/8 by 3, we get 9/24. - Therefore, 5/12 is greater than 3/8. [[5]]

6. 5/8 and 7/16: - Finding a common denominator, we get 128. - Multiplying the numerator and denominator of 5/8 by 16, we get 80/128. - Multiplying the numerator and denominator of 7/16 by 8, we get 56/128. - Therefore, 5/8 is greater than 7/16. [[6]]

7. 2/11 and 1 4/3: - To compare mixed numbers, we can convert them to improper fractions. - 1 4/3 can be written as (1 * 3 + 4)/3 = 7/3. - Therefore, 2/11 is less than 1 4/3. [[7]]

8. 1 1/4 and 1 3/4: - Converting both mixed numbers to improper fractions, we get 5/4 and 7/4. - Therefore, 1 3/4 is greater than 1 1/4. [[8]]

9. 5/4 and 1 3/4: - Converting 1 3/4 to an improper fraction, we get 7/4. - Therefore, 5/4 is less than 1 3/4. [[9]]

10. 11/10 and 10/11: - These fractions do not have a common denominator. - Comparing the fractions, we can see that 11/10 is greater than 10/11. [[10]]

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