The problem is to evaluate the expression $\frac{7}{6} \div \frac{3}{2} - \frac{7 \div 3}{6 \div 2}$.

1. Problem Description

The problem is to evaluate the expression $\frac{7}{6} \div \frac{3}{2} - \frac{7 \div 3}{6 \div 2}$.

2. Solution Steps

First, we simplify the expression $\frac{7 \div 3}{6 \div 2}$:

$7 \div 3 = \frac{7}{3}$

$6 \div 2 = 3$

So, $\frac{7 \div 3}{6 \div 2} = \frac{\frac{7}{3}}{3} = \frac{7}{3} \times \frac{1}{3} = \frac{7}{9}$.

Next, we evaluate $\frac{7}{6} \div \frac{3}{2}$. Dividing by a fraction is the same as multiplying by its reciprocal:

$\frac{7}{6} \div \frac{3}{2} = \frac{7}{6} \times \frac{2}{3} = \frac{7 \times 2}{6 \times 3} = \frac{14}{18} = \frac{7}{9}$.

Now, we substitute these results back into the original expression:

$\frac{7}{6} \div \frac{3}{2} - \frac{7 \div 3}{6 \div 2} = \frac{7}{9} - \frac{7}{9} = 0$.

3. Final Answer

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