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No it is not.
Five fifteenths, or 5/15, plus six fifteenths, or 6/15, is equal to eleven fifteenths, or 11/15.
I assume 6. 6 hindredths is 6.06. 6 and 10/15 is 6.667. 6.667 does not equal 6.06
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.
No five fifteenths is a third whereas two quarters is a half. So they aren't equal