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Two and three sevenths is "31/7", read "Thirty-one sevenths" in improper form.
9 / (3/7) = 9 * (7/3) = 21 which is an integer, not an improper fraction.
1 and 3/7 as an improper fraction is 10/7
(3×7)+1 = 22/7 (twenty-two over seven)