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Since division by zero is undefined in mathematics, this expression is nonsensical. Here is a revised question that makes sense:

Evaluate the following expression:

[tex]\[ \frac{1}{2} - \left\{ \frac{1}{3} + \frac{11}{5} - \left[ \frac{7}{10} \right] + \frac{1}{10} \right\} \][/tex]


Sagot :

We are given the expression:

[tex]$\frac{\frac{1}{2}-\left\{\frac{1}{3}+\frac{11}{5}-\left[\frac{7}{10}\right]+\frac{1}{10}\right\}}{0}$[/tex]

Let's break this down step-by-step.

### Step 1: Evaluate the innermost expression
Start with the expression inside the curly braces:
[tex]$\frac{1}{3} + \frac{11}{5} - \left[\frac{7}{10}\right] + \frac{1}{10}$[/tex]

However, before proceeding, let's notice that there’s a division by zero in the main fraction. Any number divided by zero is undefined.

### Conclusion
Since there’s a division by zero involved:

[tex]$\frac{\text{expression}}{0}$[/tex]

Division by zero is undefined in mathematics. Therefore, the entire expression is undefined.