Question

3 2/9x-2 5/12=2 1/3x-1 3/4

Answer 1

Ответ:

х = 1 1/3

Пошаговое объяснение:

3 2/9x-2 5/12=2 1/3x-1 3/4

3 2/9x - 2 1/3x = 2 5/12 - 1  3/4

3 2/9x - 2 3/9x = 2 5/12 - 1  9/12

8/9х = 8/12

х = 8/12 : 8/9

х = 8/12 · 9/8

х = 12/9

х = 4/3

х = 1 1/3

Answer 2

To solve the equation, we need to find the value of "x." Let's start by simplifying both sides of the equation to make the calculations easier.

Given equation: 3 2/9x - 2 5/12 = 2 1/3x - 1 3/4

Step 1: Convert mixed fractions to improper fractions. 3 2/9 can be written as an improper fraction: (3 * 9 + 2) / 9 = 29 / 9 2 5/12 can be written as an improper fraction: (2 * 12 + 5) / 12 = 29 / 12 2 1/3 can be written as an improper fraction: (2 * 3 + 1) / 3 = 7 / 3 1 3/4 can be written as an improper fraction: (1 * 4 + 3) / 4 = 7 / 4

The equation becomes: (29/9)x - 29/12 = (7/3)x - 7/4

Step 2: Get rid of the denominators by multiplying the entire equation by the least common multiple (LCM) of the denominators, which is 36 (LCM of 9, 12, and 4).

36 * [(29/9)x - 29/12] = 36 * [(7/3)x - 7/4]

Step 3: Simplify both sides of the equation.

On the left-hand side: 36 * (29/9)x = 36 * (4 * (29/12)) = 36 * 29 / 12

On the right-hand side: 36 * (7/3)x = 36 * (4 * (7/4)) = 36 * 7 / 4

The equation becomes: (36 * 29 / 12) - 29 = (36 * 7 / 4) - 7x

Step 4: Solve for "x."

(36 * 29 / 12) - 29 = (36 * 7 / 4) - 7x

Now, calculate the values on each side of the equation:

1,044 / 12 - 29 = 252 / 4 - 7x

87 - 29 = 63 - 7x

58 = 63 - 7x

Next, isolate the "x" term on one side by moving the constant term to the other side:

7x = 63 - 58

7x = 5

Finally, solve for "x":

x = 5 / 7

So, the value of "x" that satisfies the equation is x = 5/7.