Question

2 1/3:x-1 1/6 = 1 5/9срочно

Answer 1

2 1/3 : х = 1 1/6 + 1 5/9
7/3х = 49/18
7 * 18 = 49 * 3х
126 = 147 х
х = 126:147
х = 6/7

Answer 2

To solve the equation $\frac{2\ 1}{3}:\frac{x-1}{6} = \frac{1\ 5}{9}$, we first need to convert the mixed numbers into improper fractions.

Step 1: Convert mixed numbers to improper fractions $\frac{2\ 1}{3} = \frac{(2\times3)+1}{3} = \frac{7}{3}$ $\frac{1\ 5}{9} = \frac{(1\times9)+5}{9} = \frac{14}{9}$

Now the equation becomes $\frac{7}{3}:\frac{x-1}{6} = \frac{14}{9}$.

Step 2: Invert the divisor and multiply To get rid of the division sign, we can take the reciprocal of the divisor (i.e., flip it) and turn the division into multiplication:

$\frac{7}{3} \times \frac{6}{x-1} = \frac{14}{9}$

Step 3: Solve for $x$ Now, we can solve for $x$. To do this, cross-multiply:

$7 \times (x-1) = 3 \times 6 \times 14$

$7x - 7 = 252$

Add 7 to both sides to isolate $x$:

$7x = 252 + 7$

$7x = 259$

Finally, divide by 7 to find the value of $x$:

$x = \frac{259}{7} \approx 37$

So, the solution to the equation is $x \approx 37$.