To convert the mixed number 6 2/5 into an improper fraction, you need to follow these steps:
1. Multiply the whole number (6) by the denominator (5): 6 × 5 = 30.
2. Add the result to the numerator (2): 30 + 2 = 32.
3. Place that sum over the original denominator (5): 32/5.
So, the improper fraction for 6 2/5 is 32/5.