Zero divided by any non-zero number, including a fraction equal to 1, is always zero.
Explanation:
The expression "0 divided by 1 fraction" can be interpreted as 0 divided by a fraction that has a value of 1. There are infinitely many fractions that equal 1 (e.g., 1/1, 2/2, 3/3, 100/100, etc.). The operation can be represented as:
0 ÷ (a/a) where 'a' is any non-zero number. Since a/a = 1, the operation simplifies to 0 ÷ 1.
Division can be thought of as asking the question: "How many times does the divisor (in this case, 1) fit into the dividend (in this case, 0)?" The answer is that 1 fits into 0 zero times.
Mathematical Representation:
0 / 1 = 0
Examples:
- 0 / (1/1) = 0 / 1 = 0
- 0 / (2/2) = 0 / 1 = 0
- 0 / (100/100) = 0 / 1 = 0
Conclusion:
Therefore, regardless of how the fraction equaling 1 is represented, zero divided by it always results in zero.