1. **State the problem:** Calculate the value of $\frac{44}{46}$. 2. **Write the fraction:** $\frac{44}{46}$. 3. **Simplify the fraction:** Find the greatest common divisor (GCD) of 44 and 46. 4. The GCD of 44 and 46 is 2. 5. Divide numerator and denominator by 2: $$\frac{\cancel{44}^\div 2}{\cancel{46}^\div 2} = \frac{22}{23}$$ 6. **Final answer:** $\frac{44}{46} = \frac{22}{23}$, which is the simplified form of the fraction.