Question

1. Скороти дріб: 1) 9/12 2) 18/20 3) 44/99 4) 10/45 2. Зведи дріб до знаменника 36: 1) 1/6 2) 3/4 3)5/12 4)40/72 3. Порівняй дроби 1)7/15 і 11/60 2) 1/8 і 5/16 3) 2/17 і 10/51 4) 22/105 і 16/21

Answer 1

1) Скорочення дробу:

1) 9/12 = 3/4

2) 18/20 = 9/10

3) 44/99 - Цей дріб вже неможливо скоротити

4) 10/45 = 2/9

2) Зведення дробу до знаменника 36:

1) 1/6 = 6/36

2) 3/4 = 27/36

3) 5/12 = 15/36

4) 40/72 = 20/36

3) Порівняння дробів:

1) 7/15 > 11/60

2) 1/8 < 5/16

3) 2/17 < 10/51

Answer 2

Ответ:

1

3/4

9/10

4/9

2/9

2

6/36

27/36

15/36

20/36

Answer 3

1. Скороти дріб:

1) 9/12: To simplify the fraction 9/12, we can divide both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 9 and 12 is 3. Dividing both 9 and 12 by 3, we get: 9/3 ÷ 12/3 = 3/4

Therefore, the simplified form of 9/12 is 3/4.

2) 18/20: To simplify the fraction 18/20, we can again find the GCD of 18 and 20, which is 2. Dividing both 18 and 20 by 2, we get: 18/2 ÷ 20/2 = 9/10

So, the simplified form of 18/20 is 9/10.

3) 44/99: The fraction 44/99 cannot be simplified any further because there is no common factor other than 1 between the numerator and the denominator.

Therefore, the fraction 44/99 is already in its simplest form.

4) 10/45: To simplify the fraction 10/45, we can find the GCD of 10 and 45, which is 5. Dividing both 10 and 45 by 5, we get: 10/5 ÷ 45/5 = 2/9

Hence, the simplified form of 10/45 is 2/9.

2. Зведи дріб до знаменника 36:

1) 1/6: To convert 1/6 to a fraction with a denominator of 36, we need to multiply both the numerator and the denominator by 6, since 6 * 6 = 36. 1/6 * 6/6 = 6/36

So, the fraction 1/6 is equivalent to 6/36.

2) 3/4: To convert 3/4 to a fraction with a denominator of 36, we need to multiply both the numerator and the denominator by 9, since 4 * 9 = 36. 3/4 * 9/9 = 27/36

Therefore, the fraction 3/4 is equivalent to 27/36.

3) 5/12: To convert 5/12 to a fraction with a denominator of 36, we need to multiply both the numerator and the denominator by 3, since 12 * 3 = 36. 5/12 * 3/3 = 15/36

Hence, the fraction 5/12 is equivalent to 15/36.

4) 40/72: To convert 40/72 to a fraction with a denominator of 36, we need to multiply both the numerator and the denominator by 0.5, since 72 * 0.5 = 36. 40/72 * 0.5/0.5 = 20/36

Therefore, the fraction 40/72 is equivalent to 20/36.

3. Порівняй дроби:

1) 7/15 and 11/60: To compare these fractions, we can find a common denominator. The least common multiple (LCM) of 15 and 60 is 60. We can then convert both fractions to have a denominator of 60.

7/15 * 4/4 = 28/60 11/60

From the above calculation, we can see that 28/60 is greater than 11/60.

2) 1/8 and 5/16: To compare these fractions, we can find a common denominator. The LCM of 8 and 16 is 16. We can then convert both fractions to have a denominator of 16.

1/8 * 2/2 = 2/16 5/16

From the above calculation, we can see that 2/16 is less than 5/16.

3) 2/17 and 10/51: To compare these fractions, we can find a common denominator. The LCM of 17 and 51 is 51. We can then convert both fractions to have a denominator of 51.

2/17 * 3/3 = 6/51 10/51

From the above calculation, we can see that 6/51 is less than 10/51.

4) 22/105 and 16/21: To compare these fractions, we can find a common denominator. The LCM of 105 and 21 is 105. We can then convert both fractions to have a denominator of 105.

22/105 16/21 * 5/5 = 80/105

From the above calculation, we can see that 22/105 is greater than 16/21.