Question

1/6 + 2/3 X + 1 целых 2/9 равно 3 целых

Answer 1

1/6 + 2/3 X + 1 2/9 =3
2/3х=3-1 2/9-1/6
2/3х=2 4/18-3/18
2/3х=2 1/18
Х=2 1/18:2/3=37/18*3/2
Х=111/36=3 1/12

Answer 2

Let's solve the equation step by step.

The equation is: 1/6 + 2/3X + 1 2/9 = 3

First, we need to convert the mixed number (1 2/9) into an improper fraction. To do that, multiply the whole number (1) by the denominator (9) and then add the numerator (2):

1 * 9 + 2 = 9 + 2 = 11

So, 1 2/9 can be written as 11/9.

Now, the equation becomes: 1/6 + 2/3X + 11/9 = 3

To solve for X, we need to isolate the variable on one side of the equation. Let's start by getting rid of the fractions. To do that, we can find a common denominator for 6, 3, and 9, which is 18.

Now, let's rewrite the equation with the common denominator:

(1/6) * (18/18) + (2/3X) * (6/6) + (11/9) * (2/2) = 3 * (18/18)

Simplifying:

18/108 + 12/18X + 22/18 = 54/18

Next, combine the fractions:

(18 + 12X + 22)/18 = 54/18

Now, the fractions on both sides of the equation have the same denominator, so we can drop the denominators:

18 + 12X + 22 = 54

Combine the constant terms on the left side:

40 + 12X = 54

Subtract 40 from both sides to isolate the 12X term:

12X = 14

Finally, divide both sides by 12 to solve for X:

X = 14/12

Now, we can simplify the fraction:

X = 7/6

So the solution to the equation is X = 7/6.