Question

Сравните дроби,запишите результат в виде двойного неравенства: 3) 27/68;9/17 и 23/34; 4) 13/72;43/144 и 5/12ПОМОГИТЕ ПОЖАЛУЙСТА

Answer 1

Чтобы сравнивать дроби, их нужно привести к общему знаменателю.
3) 27/68; 9/17 и 23/34 - общий знаменатель 68
68 : 17 = 4 - доп.множ. к 9/17 = (9*4)/(17*4) = 36/68
68 : 34 = 2 - доп.множ. к 23/34 = (23*2)/(34*2) = 46/68
27/68 < 9/17 < 23/34, так как 27/68 < 36/68 < 46/68

4) 13/72; 43/144 и 5/12 - общий знаменатель 144
144 : 72 = 2 - доп.множ. к 13/72 = (13*2)/(72*2) = 26/144
144 : 12 = 12 - доп.множ. к 5/12 = (5*12)/(12*12) = 60/144
13/72 < 43/144 < 5/12, так как 26/144 < 43/144 < 60/144

Answer 2

Comparing and Expressing Fractions as Double Inequalities

To compare and express the given fractions as double inequalities, we'll compare the fractions and express the results in the form of double inequalities.

1. Comparing and Expressing 27/68 and 9/17 as a Double Inequality: - To compare 27/68 and 9/17, we can find a common denominator and then compare the numerators. - The common denominator for 68 and 17 is 68. - Comparing the numerators: - 27/68 < 9/17

Therefore, the double inequality for 27/68 and 9/17 is: 27/68 < 9/17.

2. Comparing and Expressing 23/34 and 13/72 as a Double Inequality: - To compare 23/34 and 13/72, we can find a common denominator and then compare the numerators. - The common denominator for 34 and 72 is 72. - Comparing the numerators: - 23/34 > 13/72

Therefore, the double inequality for 23/34 and 13/72 is: 23/34 > 13/72.

3. Comparing and Expressing 43/144 and 5/12 as a Double Inequality: - To compare 43/144 and 5/12, we can find a common denominator and then compare the numerators. - The common denominator for 144 and 12 is 144. - Comparing the numerators: - 43/144 < 5/12

Therefore, the double inequality for 43/144 and 5/12 is: 43/144 < 5/12.

In summary, the double inequalities for the given fractions are: - 27/68 < 9/17 - 23/34 > 13/72 - 43/144 < 5/12