Question

5 2/13 - (x-5/13)=1 4/13​

Answer 1

$5\frac{2}{13}-(x-\frac{5}{13})=1\frac{4}{13}\\\\\frac{67}{13}-x+\frac{5}{13}=\frac{17}{13}\\\\-x=\frac{17}{13}-\frac{67}{13}-\frac{5}{13}\\\\x=-\frac{17}{13}+\frac{67}{13}+\frac{5}{13}\\\\x=\frac{40}{13}+\frac{5}{13}\\\\x=\frac{45}{13}\\\\x= 3\frac{6}{13}$

Проверка:

$5\frac{2}{14}-(3\frac{6}{13}-\frac{5}{13})=1\frac{4}{13}\\\\\frac{67}{13}-( \frac{45}{13}-\frac{5}{13} )=\frac{17}{13}\\\\\frac{67}{13}-\frac{40}{13}=\frac{17}{13}\\\\\frac{17}{13}=\frac{17}{13}\\\\1\frac{4}{13}=1\frac{4}{13}$

Answer 2

Ответ:

х = 4 3/13

Пошаговое объяснение:

5 2/13 - (x-5/13) = 1 4/13​

5 2/13 - x + 5/13 = 1 4/13​

5 7/13 - х = 1 4/13

х = 5 7/13 - 1 4/13

х = 4 3/13

Answer 3

To solve the equation $5 \frac{2}{13} - (x - \frac{5}{13}) = 1 \frac{4}{13}$, you can follow these steps:

Step 1: Subtract $1 \frac{4}{13}$ from both sides of the equation to isolate the term with $x$:

$5 \frac{2}{13} - (x - \frac{5}{13}) - (1 \frac{4}{13}) = 0$

Step 2: Simplify the equation:

First, subtract the whole numbers:

$5 - 1 = 4$

Next, subtract the fractions:

$\frac{2}{13} - \frac{4}{13} = -\frac{2}{13}$

So, the equation becomes:

$4 - \frac{2}{13} - (x - \frac{5}{13}) = 0$

Step 3: Remove the parentheses on the left side by distributing the negative sign:

$4 - \frac{2}{13} - x + \frac{5}{13} = 0$

Step 4: Combine like terms:

$\frac{4}{13} - \frac{2}{13} + \frac{5}{13} - x = 0$

$\frac{2}{13} + \frac{5}{13} - x = 0$

$\frac{7}{13} - x = 0$

Step 5: Isolate the variable $x$:

Subtract $\frac{7}{13}$ from both sides:

$-x = -\frac{7}{13}$

Step 6: Solve for $x$ by multiplying both sides by -1 to isolate $x$:

$x = \frac{7}{13}$

So, the solution to the equation is $x = \frac{7}{13}$.