Md Adnan

Short answer: No, not always.

Explanation:

• For any non-zero number x,
  \frac{x}{x} = 1
  Example:
  \frac{5}{5} = 1,\ \frac{-3}{-3} = 1
• But when x = 0,
  \frac{0}{0}
  is undefined in mathematics (division by zero is not allowed).

Conclusion:

\frac{x}{x} = \begin{cases} 1 & \text{if } x \neq 0 \\ \text{undefined} & \text{if } x = 0 \end{cases}

So, x/x is equal to 1 only when x \neq 0.

Explanation:

• If x \neq 0, then
  \frac{x}{x} = 1
• But if x = 0, then
  \frac{0}{0}
  is undefined in mathematics.

Why 0/0 is not 1:

• Division by zero is not allowed.
• 0/0 could mean any number, because:
  0 \times n = 0 \quad \text{for all } n
  So it has no single, well-defined value.

Conclusion:

\frac{x}{x} = \begin{cases} 1 & \text{if } x \neq 0 \\ \text{undefined} & \text{if } x = 0 \end{cases}

✔️ So x/x is equal to 1 only when x is not zero