one quarter is less than one third
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No, 0.35 is more than a third.
one third - is only one answer any value of x such that 1/4 < x < 1/2 or 0.25 < x < 0.5
no such thing. Think again - An Australian 20c coin. Its value is also less than a US quarter but more than a US dime. I suspect there are many other examples.
Yes. 0.3 is less than a third. 0.55 is a bit more than a half.
one quarter