Question

1) 84*105/ HOK (84; 105) 2) HOK(120;48)/ 120*48 3)НОД (225,90)/ HOK (225,90)​

Answer 1

Ответ:

1) 84*105/HOK(84; 105) = 21

2) HOK(120;48)/120*48 = 1/24

3) НОД(225; 90)/HOK(225; 90)​ = 1/10

Пошаговое объяснение:

1) Чтобы найти HOK(84; 105), разложим числа на множители:

84 = 2*2*3*7

105 = 3*5*7

HOK(84; 105) = (2*2*3*7)*5 = 420

84*105/HOK(84; 105) = (2*2*3*7)*(3*5*7)/(2*2*3*7*5) = 3*7 = 21

2) HOK(120; 48):

120 = 2*2*2*3*5

48 = 2*2*2*2*3

HOK(120; 48) = (2*2*2*3*5)*2 = 240

HOK(120;48)/120*48 = (2*2*2*3*5*2)/((2*2*2*3*5)*(2*2*2*2*3)) = 1/(2*2*2*3) = 1/24

3) Разложим числа 225 и 90 на множители:

225 = 3*3*5*5

90 = 2*3*3*5

НОД(225; 90) = 3*3*5 = 45

HOK(225; 90)​ = (3*3*5*5)*2 = 450

НОД(225; 90)/HOK(225; 90)​ = (3*3*5)/(3*3*5*5*2) = 1/(5*2) = 1/10

Answer 2

It seems like you're using some notation that I'm not familiar with. However, I can interpret some parts of your expressions and provide answers based on common mathematical operations.

1. $\frac{84 \times 105}{\text{HOK}(84, 105)}$

   • $\text{HOK}(84, 105)$ likely means the least common multiple (LCM) of 84 and 105.
   • To find the answer, we need to calculate the LCM of 84 and 105 and then divide $84 \times 105$ by that result.

2. $\frac{\text{HOK}(120, 48)}{120 \times 48}$

   • Similar to the first expression, $\text{HOK}(120, 48)$ probably represents the LCM of 120 and 48.
   • Calculate the LCM of 120 and 48 and then divide that result by $120 \times 48$.

3. $\frac{\text{НОД}(225, 90)}{\text{HOK}(225, 90)}$

   • $\text{НОД}(225, 90)$ likely represents the greatest common divisor (GCD) of 225 and 90.
   • $\text{HOK}(225, 90)$ seems to be the LCM of 225 and 90.
   • Calculate the GCD of 225 and 90, and then divide that result by the LCM of 225 and 90.

Please provide the specific method or notation used for finding the LCM and GCD (HOK and НОД) so I can assist you further.