Question

what is the value of m?
\\(\frac{8}{7} = m + \frac{2}{7}\\)
\\(-\frac{2}{7}\\) \\(-\frac{2}{7}\\) subtract \\(\frac{2}{7}\\) on both sides.
\\(\square = m\\)

Explanation:

Step1: Subtract $\frac{2}{7}$ from both sides

We start with the equation $\frac{8}{7}=m + \frac{2}{7}$. To isolate $m$, we subtract $\frac{2}{7}$ from both sides. So we have $\frac{8}{7}-\frac{2}{7}=m+\frac{2}{7}-\frac{2}{7}$.

Step2: Simplify both sides

For the left - hand side, when we subtract the fractions $\frac{8}{7}-\frac{2}{7}$, since the denominators are the same, we subtract the numerators: $\frac{8 - 2}{7}=\frac{6}{7}$. For the right - hand side, $\frac{2}{7}-\frac{2}{7} = 0$, so we are left with $m$. So $m=\frac{6}{7}$.

Answer:

$\frac{6}{7}$