Question

5 2/11+(х-9/11)=1 7/11

Answer 1

Ответ:

x = -2 8/11

Пошаговое объяснение:

5 2/11 = (5 × 11 + 2)/11 = 57/11

1 7/11 = 18/17

57/11 + x - 9/11 = 18/17

57/11 - 9/11 - 18/17 + x = 0

30/11 + x = 0

x = - 30/11

x = - 2 8/11

Answer 2

To solve the equation $5\frac{2}{11} + \left(x - \frac{9}{11}\right) = 1\frac{7}{11}$, you can follow these steps:

Step 1: Convert mixed numbers to improper fractions: $5\frac{2}{11} = \frac{5 \times 11 + 2}{11} = \frac{57}{11}$

$1\frac{7}{11} = \frac{1 \times 11 + 7}{11} = \frac{18}{11}$

Step 2: Rewrite the equation with the improper fractions: $\frac{57}{11} + \left(x - \frac{9}{11}\right) = \frac{18}{11}$

Step 3: Simplify the equation: $\frac{57}{11} + x - \frac{9}{11} = \frac{18}{11}$

Step 4: Combine like terms: $\frac{48}{11} + x = \frac{18}{11}$

Step 5: Isolate the variable $x$: $x = \frac{18}{11} - \frac{48}{11}$

Step 6: Perform the subtraction: $x = -\frac{30}{11}$

So, the solution to the equation is $x = -\frac{30}{11}$.