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Zero can be neither the numerator nor the denominator of a fraction.
zero.
The answer depends on the part of the question that is missing.
No. The reason you can multiply a fraction by (x/x) to find an equivalent fraction is because for almost any x, (x/x) = 1. This is not the case for zero. Zero divided by zero does NOT equal 1, so multiplying the fraction by a value not equal to 1 will create a different fraction.
The number you can take away half of and leave nothing is zero. When you take away half of zero (which is also zero), you are left with zero. This is because zero divided by two is zero, and subtracting zero from zero leaves you with zero.