2 ÷ - 1 2/3 two divided by negative 1 and 2 thirds.

Step 1 ) Convert mixed fraction into an improper fraction.
[tex] \displaystyle\ 1\frac{2}{3} [/tex]
↓
[tex] \displaystyle\frac{5}{3} [/tex]
Step 2 ) Convert whole number to fraction.
2
↓
[tex] \displaystyle\frac{2}{1} [/tex]
Step 3 ) Apply keep, change, flip.
[tex] \displaystyle\frac{2}{1} [/tex] × [tex] \displaystyle\frac{3}{5} [/tex]
Step 4 ) Multiply straight across.
[tex] \displaystyle\frac{2}{1} [/tex] × [tex] \displaystyle\frac{3}{5} [/tex]
↓
[tex] \displaystyle\frac{6}{5} [/tex]
Step 5 ) Convert improper fraction to proper or mixed fraction.
[tex] \displaystyle\frac{6}{5} [/tex]
↓
[tex] \displaystyle\ 1\frac{1}{5} [/tex]
The fraction cannot be simplified farther, so this is our final answer.
[tex] \displaystyle\ 1\frac{1}{5} [/tex]
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- Marlon Nunez