Question

Укажите неверное неравенство. 1) 3/8 < 4/7; 2) 5/17 > 2/9; 3) 5/12 < 2/3; 4) 11/23 > 5/7:

Answer 1

Приводим к общему знаменателю

Answer 2

To identify the incorrect inequality, let's compare the fractions given:

1. 3/8 < 4/7 To compare these fractions, we can find a common denominator, which is 56: 3/8 = 21/56 4/7 = 32/56

21/56 < 32/56 This is true since 21/56 is less than 32/56.

2. 5/17 > 2/9 To compare these fractions, we can find a common denominator, which is 153: 5/17 = 45/153 2/9 = 34/153

45/153 > 34/153 This is true since 45/153 is greater than 34/153.

3. 5/12 < 2/3 These fractions already have a common denominator of 12, so we can compare them directly:

5/12 < 8/12 This is true since 5/12 is less than 8/12.

4. 11/23 > 5/7 To compare these fractions, we can find a common denominator, which is 161: 11/23 = 77/161 5/7 = 115/161

77/161 < 115/161 This is not true; the correct comparison should be 77/161 > 115/161.

So, the incorrect inequality is 4) 11/23 > 5/7.