Question

Решите уравнение (2 5/8х+5 5/6)÷2 5/14=4 5/11 Ответ запиши в виде смешанного числа с несократимой доброй частью .Помогите пожалуйста решить .

Answer 1

Ответ:

Пошаговое объяснение:

2 5/8х +5 5/6=4 5/11×2 5/14

49/11×33/14=21/2

2/58х=21/2 -35/6=63/6-35/6=28/6

Х=28/6÷21/8=28/6×8/21=16/9=1 7/9

Х=1 7/9

Answer 2

Ответ:

Смотри решение на фото..

Answer 3

To solve the equation (2 + 5/8x + 5 + 5/6) ÷ 2 + 5/14 = 4 + 5/11 and express the answer as a mixed number with an irreducible whole part, we can follow these steps:

Step 1: Simplify the equation by performing the operations inside the parentheses first.

The equation becomes: (2 + 5/8x + 5 + 5/6) ÷ 2 + 5/14 = 4 + 5/11

Step 2: Combine like terms on both sides of the equation.

On the left side, we have: (2 + 5/8x + 5 + 5/6) ÷ 2 + 5/14

On the right side, we have: 4 + 5/11

Step 3: Simplify the left side of the equation.

To simplify the left side, we need to find a common denominator for the fractions involved. The least common multiple (LCM) of 8, 6, and 14 is 168.

Multiplying each term by the appropriate factor to get a common denominator, we have: ((2 * 168) + (5/8x * 168) + (5 * 168) + (5/6 * 168)) ÷ 2 + (5/14 * 168) = (4 * 168) + (5/11 * 168)

Simplifying further, we get: (336 + 210x + 840 + 140) ÷ 2 + 60 = 672 + (840/11)

Combining like terms, we have: (1376 + 210x) ÷ 2 + 60 = 672 + (840/11)

Step 4: Continue simplifying the equation.

To simplify the equation further, we can multiply both sides by 2 to eliminate the fraction on the left side:

(1376 + 210x) + 120 = 1344 + (1680/11)

Simplifying the right side, we have: (1376 + 210x) + 120 = 1344 + 152.73

Step 5: Solve for x.

Now, we can solve for x by isolating the variable on one side of the equation.

Subtracting 120 from both sides, we get: 1376 + 210x = 1496 + 152.73

Subtracting 1344 from both sides, we have: 32 + 210x = 152.73

Subtracting 32 from both sides, we get: 210x = 120.73

Finally, dividing both sides by 210, we find: x = 0.575

Step 6: Express the answer as a mixed number with an irreducible whole part.

The value of x is 0.575. To express it as a mixed number, we can write it as:

x = 0 575/1000

Simplifying the fraction, we have: x = 0 23/40

Therefore, the solution to the equation (2 + 5/8x + 5 + 5/6) ÷ 2 + 5/14 = 4 + 5/11, expressed as a mixed number with an irreducible whole part, is:

x = 0 23/40