Step 1: Read the question.
We must find the main purpose of the Enabling Act of 1933 in Germany.
Step 2: The setting.
In early 1933 Adolf Hitler became Chancellor of Germany. He wanted full control and aimed to remove the limits placed by democracy.
Step 3: What the Act did.
The Enabling Act let Hitler's government make laws on its own, without needing the approval of parliament.
Step 4: The effect.
This wiped out the power of parliament and put all law making power in Hitler's hands. In effect it set up a dictatorship in Germany.
Step 5: Rule out the others.
It did not strengthen democracy, give women voting rights, or aim to fix the economy. It destroyed democratic checks.
Step 6: Conclude.
The main purpose was to establish dictatorship in Germany.
\[ \boxed{\text{To establish dictatorship in Germany}} \]