Question

how can you find the value of m? 8/7 = m + 2/7? ? on both sides.

Explanation:

Step1: Identify the operation

To isolate \( m \), we need to undo the addition of \( \frac{2}{7} \). The inverse operation of addition is subtraction. So we will subtract \( \frac{2}{7} \) from both sides.

Step2: Perform the operation on both sides

Starting with the equation \( \frac{8}{7}=m + \frac{2}{7} \), subtract \( \frac{2}{7} \) from both sides:
\( \frac{8}{7}-\frac{2}{7}=m+\frac{2}{7}-\frac{2}{7} \)
Simplify both sides: \( \frac{8 - 2}{7}=m+0 \), which gives \( \frac{6}{7}=m \). But for the blanks, we need to state the operation: subtract \( \frac{2}{7} \) on both sides.

Answer:

To find the value of \( m \) in the equation \( \frac{8}{7}=m+\frac{2}{7} \), we use the inverse operation of addition (which is subtraction) and subtract \( \frac{2}{7} \) on both sides. So the first blank is "Subtract" and the second blank is \( \frac{2}{7} \).