9+(-4)+6+3+(-3)+0+4+7:8

To simplify the expression \( 9 + (-4) + 6 + 3 + (-3) + 0 + 4 + \frac{7}{8} \), we will evaluate it step by step:

1. Calculate \( 9 + (-4) = 9 - 4 = 5 \)
2. Add \( 5 + 6 = 11 \)
3. Add \( 11 + 3 = 14 \)
4. Add \( 14 + (-3) = 14 - 3 = 11 \)
5. Add \( 11 + 0 = 11 \)
6. Add \( 11 + 4 = 15 \)
7. Finally, add \( 15 + \frac{7}{8} = 15 + 0.875 = 15.875 \)

So, the final result is \( 15.875 \).