Solve the Fraction Equation: Finding the Missing Term in 6/7 - ? = 2/7

To solve this problem, we'll complete the following steps:

• Identify the given expressions
• Adjust the equation to find the missing fraction
• Calculate the correct value

Let's break this down:

We start with the problem statement:

$\frac{6}{7} - \text{missing fraction} = \frac{2}{7}$

To find the missing fraction, rearrange the equation:

$\text{Missing fraction} = \frac{6}{7} - \frac{2}{7}$

Since the denominators are identical (both are 7), we subtract the numerators while keeping the denominator constant:

$\text{Missing fraction} = \frac{6 - 2}{7} = \frac{4}{7}$

Upon reevaluating our options, we find $\frac{4}{7}$ matches option 4 in the answer choices.

The missing fraction that completes the equation is therefore $\frac{4}{7}$.