Yes, they are are.
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Not at all. One half is more than a third but less than three quarters.
six quarters. That is equal to one and half.
No five fifteenths is a third whereas two quarters is a half. So they aren't equal
One-third of seven and a half (7.5) is 2.5. You can think of it as three-quarters divided by three.
Two quarters equal a half.