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Two fifths = six fifteenths, two thirds = ten fifteenths...
Find the "common denominator". 2/5 is 6/15. So 1 fifteenth minus 6 fifteenths is minus 5 fifteenths , or minus one third
Two quarters minus two thirds is negative one sixth. Two quarters is six twelfths, and two thirds is eight twelfths. Six twelfths minus eight twelfths is minus two twelfths or minus one sixth.
Eight minus two thirds would be seven and one third.