**Simplifying Fractions: 6/7 - 2/5**

When working with fractions, it's often necessary to simplify them to their most basic form. In this article, we'll explore how to simplify the fraction 6/7 - 2/5.

**Step 1: Find a Common Denominator**

To subtract fractions, we need to find a common denominator between the two fractions. In this case, the least common multiple (LCM) of 7 and 5 is 35. So, we'll convert both fractions to have a denominator of 35.

### 6/7 = 30/35

### 2/5 = 14/35

**Step 2: Subtract the Fractions**

Now that we have the same denominator, we can subtract the fractions.

### 30/35 - 14/35 = 16/35

**Step 3: Simplify the Result**

The resulting fraction, 16/35, is already in its simplest form. Therefore, we don't need to simplify it further.

**Final Answer**

The simplified result of 6/7 - 2/5 is **16/35**.