Question

Сравните дроби и запишите результат с помощью знаков >< 2/3и1/3 2/7и5/7 3/8и1/8 3/5и3/8 5/6и5/7 3/4и3/5 11/27и8/27 9/14и9/11

Answer 1

2/3 >1/3
2/7 < 5/7
3/8 > 1/8
3/5 > 3/8
5/6 > 5/7
3/4 > 3/5
11/27 > 8/27
3/14 < 9/11

Answer 2

Comparing Fractions

To compare fractions, we need to find a common denominator and then compare the numerators. Let's compare the given fractions:

1. 2/3 and 1/3: - The fractions have the same denominator, so we can compare the numerators directly. - Since 2 is greater than 1, 2/3 is greater than 1/3.

2. 2/7 and 5/7: - The fractions have the same denominator, so we can compare the numerators directly. - Since 5 is greater than 2, 5/7 is greater than 2/7.

3. 3/8 and 1/8: - The fractions have the same denominator, so we can compare the numerators directly. - Since 3 is greater than 1, 3/8 is greater than 1/8.

4. 3/5 and 3/8: - To compare these fractions, we need to find a common denominator. - The least common multiple of 5 and 8 is 40, so we can rewrite the fractions with a common denominator: - 3/5 = 24/40 - 3/8 = 15/40 - Now we can compare the numerators directly. - Since 24 is greater than 15, 3/5 is greater than 3/8.

5. 5/6 and 5/7: - To compare these fractions, we need to find a common denominator. - The least common multiple of 6 and 7 is 42, so we can rewrite the fractions with a common denominator: - 5/6 = 35/42 - 5/7 = 30/42 - Now we can compare the numerators directly. - Since 35 is greater than 30, 5/6 is greater than 5/7.

6. 3/4 and 3/5: - To compare these fractions, we need to find a common denominator. - The least common multiple of 4 and 5 is 20, so we can rewrite the fractions with a common denominator: - 3/4 = 15/20 - 3/5 = 12/20 - Now we can compare the numerators directly. - Since 15 is greater than 12, 3/4 is greater than 3/5.

7. 11/27 and 8/27: - The fractions have the same denominator, so we can compare the numerators directly. - Since 11 is greater than 8, 11/27 is greater than 8/27.

8. 9/14 and 9/11: - To compare these fractions, we need to find a common denominator. - The least common multiple of 14 and 11 is 154, so we can rewrite the fractions with a common denominator: - 9/14 = 99/154 - 9/11 = 126/154 - Now we can compare the numerators directly. - Since 126 is greater than 99, 9/11 is greater than 9/14.

In summary, the comparisons of the given fractions are as follows:

- 2/3 > 1/3 - 2/7 < 5/7 - 3/8 > 1/8 - 3/5 > 3/8 - 5/6 > 5/7 - 3/4 > 3/5 - 11/27 > 8/27 - 9/14 < 9/11