X+1 7/10=6 3/10

To solve the equation \( x + 1 \frac{7}{10} = 6 \frac{3}{10} \), we will first convert the mixed numbers to improper fractions or decimals. 1. Convert the mixed numbers: - \( 1 \frac{7}{10} = 1 + \frac{7}{10} = \frac{10}{10} + \frac{7}{10} = \frac{17}{10} \) - \( 6 \frac{3}{10} = 6 + \frac{3}{10} = \frac{60}{10} + \frac{3}{10} = \frac{63}{10} \) So, the equation can be rewritten as: \[ x + \frac{17}{10} = \frac{63}{10} \] 2. Now, isolate \( x \) by subtracting \( \frac{17}{10} \) from both sides: \[ x = \frac{63}{10} - \frac{17}{10} = \frac{63 - 17}{10} = \frac{46}{10} = \frac{23}{5} \] 3. If needed, convert \( \frac{23}{5} \) back to a mixed number: \(\frac{23}{5} = 4 \frac{3}{5}\) Thus, the solution is: \[ x = \frac{23}{5} \quad \text{or} \quad x = 4 \frac{3}{5} \]