Answer:
[tex]\boxed{\boxed{\tt B)-2}}[/tex]
Step-by-step explanation:
[tex]\tt 2+\left(-\cfrac{2}{3}\right)2\div \cfrac{1}{3}[/tex]
Express -2/3 × 2 as a single fraction:
[tex]\tt 2+\cfrac{\cfrac{-2\times 2}{3} }{\cfrac{1}{3} }[/tex]
Multiply -2 × 2 = -4
[tex]\tt 2+\cfrac{\cfrac{-4}{3} }{\cfrac{1}{3} }[/tex]
Now, rewrite fraction [tex]\tt \frac{-4}{3}[/tex] as [tex]\tt -\frac{4}{3}[/tex] by extracting the (-) sign:
[tex]\tt 2+\cfrac{-\cfrac{4}{3} }{\cfrac{1}{3} }[/tex]
Divide - 4/3 by 1/3 by multiplying - 4/3 by the reciprocal → 1/3
[tex]\tt 2-\cfrac{4}{3} \times 3[/tex]
Cancel out 3 and 3:
[tex]\tt 2-4[/tex]
Subtract numbers:
[tex]\tt -2[/tex]
_____________________________________
