Question

Найти НОД и сократить дробь 24/60. И объяснить решение

Answer 1

Ответ:

12

Пошаговое объяснение:

Нужно разложить число на множители и с каждого взять множитель с меньшей степенью.К примеру здесь был выбор двойки во второй и третьей степени и я взял вторую степень.Так же в 60 есть множитель 5 а в 24 такого нет,если такое встречается то множитель который только в одном числе мы не берем.

Answer 2

Finding the GCD and Simplifying the Fraction 24/60

To find the greatest common divisor (GCD) of two numbers, we can use the Euclidean algorithm. The GCD is the largest positive integer that divides both numbers without leaving a remainder.

In this case, we want to find the GCD of 24 and 60.

To simplify the fraction 24/60, we need to divide both the numerator and the denominator by their GCD.

Let's calculate the GCD of 24 and 60 using the Euclidean algorithm:

1. Start with the two numbers: 24 and 60. 2. Divide 60 by 24: 60 ÷ 24 = 2 with a remainder of 12. 3. Replace the larger number (60) with the remainder (12): 24 and 12. 4. Repeat the process: divide 24 by 12: 24 ÷ 12 = 2 with no remainder. 5. Replace the larger number (24) with the remainder (0): 12 and 0.

Since the remainder is now 0, we have found the GCD of 24 and 60, which is 12.

Now, let's simplify the fraction 24/60 by dividing both the numerator and the denominator by their GCD:

24 ÷ 12 = 2 60 ÷ 12 = 5

Therefore, the simplified fraction is 2/5.

To summarize: - The GCD of 24 and 60 is 12. - The simplified fraction of 24/60 is 2/5.

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