Question

3 2/7-2 4/7 +х= 2 1/7​

Answer 1

Ответ:

3 2/7 - 2 4/7 + х =2 1/7

x = 2 1/7 +2 4/7 - 3 2/7

x = 4 5/7 - 3 2/7

x = 1 3/7

Answer 2

To solve the equation $3 \frac{2}{7} - 2 \frac{4}{7} + x = 2 \frac{1}{7}$, follow these steps:

1. First, subtract $2 \frac{4}{7}$ from $3 \frac{2}{7}$: $3 \frac{2}{7} - 2 \frac{4}{7} = 3 \frac{2}{7} - (2 + \frac{4}{7})$

   To subtract, convert both fractions to have a common denominator, which is 7 in this case: $3 \frac{2}{7} - (2 + \frac{4}{7}) = 3 \frac{2}{7} - \left(\frac{14}{7} + \frac{4}{7}\right)$

   Now, simplify the expression inside the parentheses: $3 \frac{2}{7} - \left(\frac{14}{7} + \frac{4}{7}\right) = 3 \frac{2}{7} - \frac{18}{7}$

2. Subtract $3 \frac{2}{7} - \frac{18}{7}$: To subtract mixed numbers, convert them to improper fractions and then subtract: $\frac{3 \cdot 7 + 2}{7} - \frac{18}{7} = \frac{21 + 2}{7} - \frac{18}{7}$ $\frac{23}{7} - \frac{18}{7}$

3. Now, subtract $\frac{23}{7} - \frac{18}{7}$: $\frac{23}{7} - \frac{18}{7} = \frac{23 - 18}{7} = \frac{5}{7}$

So, the equation becomes: $\frac{5}{7} + x = 2 \frac{1}{7}$

4. Now, isolate $x$ by subtracting $\frac{5}{7}$ from both sides: $x = 2 \frac{1}{7} - \frac{5}{7}$

5. Subtract the fractions on the right side: $x = \frac{15}{7} - \frac{5}{7} = \frac{10}{7}$

So, the solution to the equation is $x = \frac{10}{7}$.