Zero divided by any fraction is always 0.
Explanation
When you divide 0 by any number (except 0 itself, which is undefined), the result is always zero. A fraction is simply a representation of a number, so this rule applies.
- General Rule: 0 / x = 0, where x is any number (or fraction) except 0.
Examples
- 0 / (1/2) = 0
- 0 / (3/4) = 0
- 0 / (100/5) = 0
- 0 / (-2/7) = 0
Why This Works
Division can be thought of as the opposite of multiplication. So, when we ask "0 / (1/2) = ?", we're really asking "What number, when multiplied by (1/2), equals 0?". The only number that satisfies this is 0.
