To solve the expression \(1995 \times 1994 - \frac{1}{1993} \times 1995 + 1994\), let's break it down step by step.

First, let's denote:
\[ A = 1995 \times 1994 \]
\[ B = \frac{1}{1993} \times 1995 \]
\[ C = 1994 \]

So the expression becomes:
\[ A - B + C \]

Now, let's calculate each part:

1. Calculate \( A \):
\[ A = 1995 \times 1994 \]
\[ A = 1995 \times (2000 - 6) \]
\[ A = 1995 \times 2000 - 1995 \times 6 \]
\[ A = 3990000 - 11970 \]
\[ A = 3978030 \]

2. Calculate \( B \):
\[ B = \frac{1}{1993} \times 1995 \]
\[ B = \frac{1995}{1993} \]

3. \( C \) is simply:
\[ C = 1994 \]

Now, let's combine these results:
\[ A - B + C = 3978030 - \frac{1995}{1993} + 1994 \]

To simplify further, we can approximate the fraction \(\frac{1995}{1993}\). Since 1995 and 1993 are very close, \(\frac{1995}{1993}\) is approximately 1.001.

So:
\[ 3978030 - 1.001 + 1994 \approx 3978030 - 1 + 1994 \]
\[ \approx 3978030 + 1993 \]
\[ = 3980023 \]

Therefore, the approximate value of the expression is:
\[ 3980023 \]