3/7+х=3 4/7

To solve the equation \( \frac{3}{7} + x = 3 \frac{4}{7} \), follow these steps: 1. Convert \( 3 \frac{4}{7} \) into an improper fraction: \[ 3 \frac{4}{7} = 3 \times 7 + 4 = 21 + 4 = \frac{25}{7} \] 2. Now rewrite the equation: \[ \frac{3}{7} + x = \frac{25}{7} \] 3. Subtract \( \frac{3}{7} \) from both sides: \[ x = \frac{25}{7} - \frac{3}{7} \] 4. Perform the subtraction: \[ x = \frac{25 - 3}{7} = \frac{22}{7} \] Thus, the solution is: \[ x = \frac{22}{7} \] If you want to convert it back to a mixed number: \[ x = 3 \frac{1}{7} \] So \( x = 3 \frac{1}{7} \) or \( \frac{22}{7} \).