Question

Срочно, будь ласка 1.Скоротіть дріб: 9/15,14/63.2.Порівняйте дроби:1. 25/48, 13/24.2.7/9, 5/6.Це самостійна Будь ласка з поясненням​

Answer 1

Ответ:

Пошаговое объяснение:

9/15 = 3/5    скорочуємо дроб на 3

14/63 = 2/9  скорочуємо дроб на 7

№2

Щоб порівняти дроби з різними знаменниками , слід звести їх до спільного знаменника і порівняти їх чисельники. Дріб з більшим чисельником буде більшим.

25/48 <  13/24 = 26/48

7/9 = 14/18

5/6 = 15/18

7/9 < 5/6

Answer 2

Simplifying Fractions:

To simplify the fractions 9/15 and 14/63, we need to find the greatest common divisor (GCD) of the numerator and denominator for each fraction and divide both the numerator and denominator by the GCD.

For the fraction 9/15: - The GCD of 9 and 15 is 3. - Dividing both the numerator and denominator by 3, we get 9/15 = 3/5.

For the fraction 14/63: - The GCD of 14 and 63 is 7. - Dividing both the numerator and denominator by 7, we get 14/63 = 2/9.

Therefore, the simplified forms of the fractions 9/15 and 14/63 are 3/5 and 2/9, respectively.

Comparing Fractions:

To compare fractions, we can either find a common denominator and compare the numerators or cross-multiply and compare the products.

For the fractions 25/48 and 13/24: - Finding a common denominator: The least common multiple (LCM) of 48 and 24 is 48. Multiplying the numerator and denominator of 13/24 by 2, we get 26/48. Now we can compare the numerators: 25 < 26. Therefore, 25/48 < 13/24.

For the fractions 7/9 and 5/6: - Cross-multiplying: Multiplying the numerator of the first fraction (7) by the denominator of the second fraction (6) and the numerator of the second fraction (5) by the denominator of the first fraction (9), we get 42 and 45, respectively. Since 42 < 45, we can conclude that 7/9 < 5/6.

Therefore, the comparisons are as follows: - 25/48 < 13/24 - 7/9 < 5/6

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