Division of 2 rational m & n numbers always where n  ≠ 0 result isSelect an answerARational numberBIrrational numberCEvenDOdd

To determine the result of dividing two rational numbers $m$ and $n$ (where $n \neq 0$), let's analyze the definitions and properties of rational and irrational numbers.

Step 1: Understand Rational Numbers

• A rational number is defined as any number that can be expressed as the quotient of two integers. This means it can be written in the form $\frac{a}{b}$, where $a$ and $b$ are integers and $b \neq 0$.

Step 2: Division of Rational Numbers

• When we divide two rational numbers $m$ and $n$: $\frac{m}{n} = \frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}$ where $m = \frac{a}{b}$ and $n = \frac{c}{d}$.

Step 3: Result of the division

• The result $\frac{m}{n}$ will also be a rational number, provided $n$ is not zero (as stated in the problem).

Step 4: Conclusion

Given that $m$ and $n$ are rational, and $n \neq 0$, the division $\frac{m}{n}$ is always a rational number.

Final Answer

A) Rational number