To simplify \(1000 \frac{2}{3}\), you can first convert the mixed number into an improper fraction:
- Convert \(1000\) to a fraction: \(1000 = \frac{1000 \times 3}{3} = \frac{3000}{3}\).
- Next, add \(\frac{2}{3}\) to it:
\[ \frac{3000}{3} + \frac{2}{3} = \frac{3000 + 2}{3} = \frac{3002}{3} \]
So, \(1000 \frac{2}{3}\) simplifies to \(\frac{3002}{3}\).
If you want to express it as a decimal, you can perform the division:
\[ 3002 \div 3 = 1000.6667 \text{ (approximately) } \]
Therefore, \(1000 \frac{2}{3}\) simplifies to \(\frac{3002}{3}\) or approximately \(1000.67\) when expressed as a decimal.