Q: What is the smallest equivalent fraction that is half of ten twentieths?

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No because one half is equivalent to ten twentieths!

There is no such thing because half that fraction will be smaller still.

1/2 of 10/20 = 1/2 of 1/2 = 1/4

That can't be quantified.

The equivalent fraction for five tenths is one half.

1 half

There is no limit to how small it can be. Given any fraction, half of it is smaller still.

Equivalent to what? No fraction is "equivalent" by itself; you can say that two or more fractions are equivalent, if they represent the same number.

equivalent fraction of 11/2 = 22/4 half of 11 = 11/2 equivalent fraction of 11/2 = 22/4

It is equivalent to some fractions, not to others!

1/2

2/4