Question

Решите уравнение:а) х:1/3=3/4:1/2; б) 1/2:k=4 3/4:2 3/8Заранее спасибо. ​

Answer 1

Ответ:

Пошаговое объяснение:

а) х:1/3=3/4:1/2

1/2х= 3/4 * 1/3

1/2х= 1/4

х= 1/4 : 1/2

х= 1/4 * 2

х= 1/2

б) 1/2:k=4 3/4:2 3/8

4 3/4к= 1/2 * 2 3/8

19/4к= 1/2 * 19/8

19/4к= 19/16

к=19/16 : 19/4

к = 19/16 * 4/19

к= 1/4

Answer 2

Solving the Equations:

a) To solve the equation x : (1/3) = (3/4) : (1/2), we can follow these steps:

1. Multiply both sides of the equation by 1/3 to isolate x. 2. Simplify the expression to find the value of x.

Let's solve it step by step.

Multiplying both sides by 1/3: x : (1/3) * (1/3) = (3/4) : (1/2) * (1/3)

Simplifying: x = (3/4) * (1/2) * (3)

b) To solve the equation (1/2) : k = 4 + (3/4) : 2 + (3/8), we can follow these steps:

1. Simplify the right-hand side of the equation. 2. Use the simplified form to solve for k.

Let's solve it step by step.

Simplifying the right-hand side: (1/2) : k = 4 + (3/4) : 2 + (3/8) (1/2) : k = 4 + (3/8) + (3/8) (1/2) : k = 4 + (3/4)

Now, we can proceed to solve for k.

Solution:

a) The solution to the equation x : (1/3) = (3/4) : (1/2) is: x = 9/8

b) The solution to the equation (1/2) : k = 4 + (3/4) : 2 + (3/8) is: k = 1/4

These are the solutions to the given equations. If you have any more questions or need further assistance, feel free to ask!