No five fifteenths is a third whereas two quarters is a half. So they aren't equal
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No it is not.
One-third is the same as five-fifteenths. Two-fifths is the same as six-fifteenths. Five-fifteenths plus six-fifteenths is eleven-fifteenths. One, or fifteen-fifteenths, minus eleven-fifteenths is four-fifteenths.
Two quarters equal a half.
twelve fifteenths or four fifths