how to simplify 1000 2/3

To simplify \(1000 \frac{2}{3}\), you can first convert the mixed number into an improper fraction.

1. **Convert the mixed number to an improper fraction**:

A mixed number consists of a whole part and a fractional part. To convert it, multiply the whole number by the denominator of the fraction and then add the numerator.

\[
1000 \frac{2}{3} = \frac{1000 \times 3 + 2}{3} = \frac{3000 + 2}{3} = \frac{3002}{3}
\]

2. **Simplify the improper fraction if possible**:

In this case, \(3002\) and \(3\) have no common factors other than \(1\), so \(\frac{3002}{3}\) is already in its simplest form.

Therefore, the simplified form of \(1000 \frac{2}{3}\) is \(\frac{3002}{3}\) or you could convert it back to a mixed number as \(1000 \frac{2}{3}\). Both forms are acceptable, depending on your context.