The value of 1 + 1 / 6 / 3 = 2 - 4.

Steps to Solve

1. Express the Equation We need to express the given equation: $$ 1 + \frac{1}{\frac{6}{3}} = 2 - \frac{4}{4} $$

2. Simplify the Fraction on the Left Side Simplify $\frac{6}{3}$ first: $$ \frac{6}{3} = 2 $$ Now substitute back: $$ 1 + \frac{1}{2} $$

3. Add the Numbers Convert $1$ into a fraction with a common denominator: $$ 1 = \frac{2}{2} $$ So we have: $$ \frac{2}{2} + \frac{1}{2} = \frac{3}{2} $$

4. Simplify the Right Side of the Equation Now simplify the right side: $$ 2 - \frac{4}{4} = 2 - 1 = 1 $$

5. Set Up the Final Equation Now we set the left side equal to the right side: $$ \frac{3}{2} = 1 $$

6. Conclusion Check if the left side equals the right side. In this case, they do not equal each other; thus verify if we correctly interpreted the operations and fractions involved.

7. Final Value Calculation Since the left side is not equal to the value we derived, we must review our original expressions but we can set: $$ \frac{3}{2} \text{ is not equal to } 1$$ Instead we need to correct our interpretation if there was any misunderstanding.