Question

(7/12+1/9у):3 2/3=1/6

Answer 1

Решение задания приложено

Answer 2

Пошаговое объяснение:

(7/12+1/9у):3 2/3=1/6

(7/12+1/9 у):11/3 = 1/6

(7/12 + 1/9 у)*3/11 = 1/6

7/44 + 1/33 у= 1/6

21+4у = 22

4у=22-21

4у=1

у=1:4

у=1/4=0,25

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удачи))

Answer 3

Let's first simplify the expression on the left-hand side of the equation:

7/12 + (1/9)у = (7/12) + (4/36)у (since 1/9 = 4/36) = (7/12) + (1/9)у (since 4/36 can be simplified to 1/9)

Now, we can divide the simplified left-hand side by 3 2/3, which is the same as converting it to a fraction:

3 2/3 = (3 × 3 + 2)/3 = 11/3

So, we have:

[(7/12) + (1/9)у]/(11/3) = 1/6

Multiplying both sides by (11/3) gives:

(11/3) × [(7/12) + (1/9)у]/(11/3) = (11/3) × (1/6)

Simplifying the right-hand side gives:

(11/3) × (1/6) = 11/18

On the left-hand side, we can simplify the expression inside the brackets:

[(7/12) + (1/9)у]/(11/3) = (21/36 + 4/36у)/(11/3) = (21/36)/(11/3) + (4/36у)/(11/3) = (21/36) × (3/11) + (4/36у) × (1/3) = (7/22) + (1/27)у

So, we now have:

(7/22) + (1/27)у = 11/18

Multiplying both sides by the least common multiple of the denominators (22 × 27 × 18) gives:

(22 × 27 × 18) × (7/22) + (22 × 27 × 18) × (1/27)у = (22 × 27 × 18) × (11/18)

Simplifying both sides gives:

567u + 14256 = 8912

Subtracting 14256 from both sides gives:

567u = -5344

Dividing both sides by 567 gives:

u = -5344/567

Therefore, the solution to the equation is:

u = -5344/567.