Question

Сравните числа, используя приём сравнения с ,,промежуточным" числом: 9/22 и 27/50 Образец. Сравним числа 25/62 и 49/80. Так как 25/62 < 1/2, а 49/80 > 1/2, то 25/62 < 49/80. Помогите плизззз очень надо........

Answer 1

9/22<1/2        1/2=11/22
27/50>1/2        1/2=25/50
Значит 9/22<27/50

Answer 2

Comparing Fractions: 9/22 and 27/50

To compare the fractions 9/22 and 27/50 using the "intermediate" method, we need to find a common denominator and then compare the numerators.

1. Find a common denominator: - The denominators of the fractions are 22 and 50. - The least common multiple (LCM) of 22 and 50 is 110.

2. Convert the fractions to have a common denominator: - Multiply the numerator and denominator of 9/22 by 5 to get 45/110. - Multiply the numerator and denominator of 27/50 by 2 to get 54/100.

3. Compare the numerators: - Now that both fractions have the same denominator, we can compare the numerators. - Since 45 is less than 54, we can conclude that 9/22 is less than 27/50.

Therefore, 9/22 < 27/50.

Comparing Fractions: 25/62 and 49/80

To compare the fractions 25/62 and 49/80 using the "intermediate" method, we need to find a common denominator and then compare the numerators.

1. Find a common denominator: - The denominators of the fractions are 62 and 80. - The least common multiple (LCM) of 62 and 80 is 4960.

2. Convert the fractions to have a common denominator: - Multiply the numerator and denominator of 25/62 by 80 to get 2000/4960. - Multiply the numerator and denominator of 49/80 by 62 to get 3038/4960.

3. Compare the numerators: - Now that both fractions have the same denominator, we can compare the numerators. - Since 2000 is less than 3038, we can conclude that 25/62 is less than 49/80.

Therefore, 25/62 < 49/80.

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