Question

24/60,НОД(24,60)= 45/105,НОД(45,105)=

Answer 1

Решение внизу на фото

Answer 2

To simplify 24/60, we can divide both the numerator and denominator by their greatest common divisor, which is 12. So, we have:

24/60 = (24/12) / (60/12) = 2/5

To find the greatest common divisor of 24 and 60, we can use the Euclidean algorithm:

60 = 2 × 24 + 12 24 = 2 × 12 + 0

So, the greatest common divisor of 24 and 60 is 12.

Similarly, to simplify 45/105, we can divide both the numerator and denominator by their greatest common divisor, which is 15. So, we have:

45/105 = (45/15) / (105/15) = 3/7

To find the greatest common divisor of 45 and 105, we can use the Euclidean algorithm:

105 = 2 × 45 + 15 45 = 3 × 15 + 0

So, the greatest common divisor of 45 and 105 is 15.