Question

2х:7=1 2/3:3 1/2 решение?

Answer 1

Ответ:

Мы можем решить эту проблему, следуя порядку операций, также известному как PEMDAS:

2x:7 = 1 2/3 ÷ 3 1/2

Во-первых, мы можем упростить смешанное число до неправильной дроби:

1 2/3 = 5/3

3 1/2 = 7/2

Сейчас мы

Answer 2

To solve the equation (2x) / 7 = (1 2/3) / 3, we need to simplify both sides and find the value of x.

First, let's convert the mixed number (1 2/3) into an improper fraction: 1 2/3 = (3 * 1 + 2) / 3 = 5/3

Now we have the equation: (2x) / 7 = 5/3 / 3

To divide by a fraction, we can multiply by its reciprocal. The reciprocal of 3/3 is 1/(3/3) = 1/1 = 1.

So we have: (2x) / 7 = (5/3) * (1/3)

Next, let's simplify the right side of the equation by multiplying the numerators and denominators: (2x) / 7 = 5/9

To isolate x, we can multiply both sides of the equation by 7: 7 * (2x) / 7 = 7 * (5/9)

The 7s cancel out on the left side, and we are left with: 2x = 35/9

Finally, we can solve for x by dividing both sides of the equation by 2: (2x) / 2 = (35/9) / 2

The 2s cancel out on the left side, and we get: x = (35/9) / 2

To divide by a fraction, we can multiply by its reciprocal: x = (35/9) * (1/2)

Multiplying the numerators and denominators: x = 35/18

Therefore, the solution to the equation is x = 35/18.