Question

Сократите дроби 15/36, 42/45 , 25/100, 9/30 а потом приведите их к знаменателю 60

Answer 1

15/36 = 5/12; 42/45 = 14/15; 25/100 = 1/4; 9/30 = 3/10

5/12 = 25/60; 14/15 = 56/60; 1/4 = 15/60; 3/10 = 18/60

Answer 2

Simplifying Fractions

To simplify the fractions 15/36, 42/45, 25/100, and 9/30, 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.

Let's simplify each fraction one by one:

1. 15/36: - The GCD of 15 and 36 is 3. - Dividing both the numerator and denominator by 3, we get 5/12.

2. 42/45: - The GCD of 42 and 45 is 3. - Dividing both the numerator and denominator by 3, we get 14/15.

3. 25/100: - The GCD of 25 and 100 is 25. - Dividing both the numerator and denominator by 25, we get 1/4.

4. 9/30: - The GCD of 9 and 30 is 3. - Dividing both the numerator and denominator by 3, we get 3/10.

Now, let's convert these simplified fractions to have a common denominator of 60:

1. 5/12: - Multiplying both the numerator and denominator by 5, we get 25/60.

2. 14/15: - Multiplying both the numerator and denominator by 4, we get 56/60.

3. 1/4: - Multiplying both the numerator and denominator by 15, we get 15/60.

4. 3/10: - Multiplying both the numerator and denominator by 6, we get 18/60.

Therefore, the simplified fractions with a common denominator of 60 are:

- 15/36 simplifies to 25/60. - 42/45 simplifies to 56/60. - 25/100 simplifies to 15/60. - 9/30 simplifies to 18/60.

Please let me know if there's anything else I can help you with!