Let's solve the expression step by step:

$-3 \left(\frac{7}{6}\right) + \frac{1}{2}$

Step 1: Multiply $-3$ by $\frac{7}{6}$

$-3 \times \frac{7}{6} = \frac{-21}{6}$

Step 2: Simplify $\frac{-21}{6}$

$\frac{-21}{6} = -\frac{7}{2}$

Step 3: Add $-\frac{7}{2}$ and $\frac{1}{2}$

Since both fractions have the same denominator, you can directly add the numerators: $-\frac{7}{2} + \frac{1}{2} = \frac{-7 + 1}{2} = \frac{-6}{2} = -3$

So, the result of the expression is: $-3$

Would you like more details on any part of the calculation?

Related questions:

1. How do you handle fractions when multiplying by a negative number?
2. How do you add fractions with different denominators?
3. How do you simplify fractions after addition or multiplication?
4. How does multiplying by a negative number affect the overall sign?
5. How would the result change if the signs in the expression were different?

Tip:

Always simplify fractions whenever possible to make calculations easier!