Define rational and irrational numbers and convert 0.1111 to a common fraction.

Step 1: Solve Question 1.1.

• A rational number is a number that can be expressed as a fraction $\frac{p}{q}$ where $p$ and $q$ are integers and $q \neq 0$.
  • Example: $\frac{3}{4}$
• An irrational number is a number that cannot be expressed as a simple fraction $\frac{p}{q}$. Its decimal representation is non-terminating and non-repeating.
  • Example: $\sqrt{2}$

Step 2: Solve Question 1.2.
To convert 0.1111 to a common fraction:

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