Question

3 2/9x - 2 5/12 = 2 1/3 x -1 3/4​

Answer 1

Решение:

...................

Answer 2

Ответ:

8,25

Пошаговое объяснение:

3 2/9х-2 5/12=2 1/3х-1 2/4

3 2/9х-2 1/3х=2 5/12-1 2/4

29/9х-7/3х=29/12-6/4

1/9х=11/12

х=11/12:1/9

х=8,25

Answer 3

To solve the given equation $3\frac{2}{9}x - 2\frac{5}{12} = 2\frac{1}{3}x - 1\frac{3}{4}$, we need to simplify it step by step.

First, let's convert all the mixed numbers to improper fractions:

$3\frac{2}{9}x - 2\frac{5}{12} = 2\frac{1}{3}x - 1\frac{3}{4}$

$\frac{29}{9}x - \frac{29}{12} = \frac{7}{3}x - \frac{7}{4}$

Now, find a common denominator for $\frac{29}{9}$ and $\frac{29}{12}$. The least common multiple of 9 and 12 is 36. So, we can rewrite the equation as:

$\frac{116}{36}x - \frac{87}{36} = \frac{84}{36}x - \frac{63}{36}$

Now, simplify the equation further:

$\frac{116}{36}x - \frac{87}{36} = \frac{84}{36}x - \frac{63}{36}$

Combine like terms:

$\frac{116}{36}x - \frac{84}{36}x = \frac{87}{36} - \frac{63}{36}$

$\frac{32}{36}x = \frac{24}{36}$

Now, simplify the equation by dividing by the common factor of 4:

$\frac{8}{9}x = \frac{6}{9}$

Finally, solve for $x$:

$x = \frac{6}{8} \times \frac{9}{6}$

$x = \frac{3}{4}$

So, the solution to the given equation is $x = \frac{3}{4}$.