Question

1 1/5:1=(2x):2/3 уравнение​

Answer 1

Ответ:

2/5.

Пошаговое объяснение:

1 1/5 : 1 = (2x) : 2/3

Первый способ решения:

1 1/5 : 1 = (2x) : 2/3

1 1/5 = (2x) : 2/3

2х = 2/3 • 1 1/5

2х = (2•6)/(3•5)

х = (2•6)/(3•5•2)

х = 2/5

Ответ: 2/5.

Второй способ решения:

1 1/5 : 1 = (2x) : 2/3

1•2х = 1 1/5•2/3

2х = 6/5•2/3

х = 6/5•2/3 : 2/1

х = 6/5•2/3•1/2

х = (6•2•1)/(5•3•2)

х = 2/5

Ответ: 2/5.

Answer 2

To solve the equation, we need to find the value of 'x'. Let's break down the steps:

Step 1: Convert the mixed number to an improper fraction. 1 1/5 can be written as (5 + 1)/5 = 6/5

Step 2: Simplify the equation using the fractions. (6/5) ÷ 1 = (2x) ÷ (2/3)

Step 3: Invert and multiply to solve for 'x'. (6/5) * (3/2) = 2x

Step 4: Solve for 'x'. (18/10) = 2x

Step 5: Divide both sides by 2 to isolate 'x'. x = (18/10) ÷ 2

Step 6: Simplify the result for 'x'. x = 9/10

So, the value of 'x' is 9/10.