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To simplify the expression 3/10 ÷ 1/3, we can multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of 1/3 = 3/1.
Therefore, 3/10 ÷ 1/3 can be rewritten as 3/10 * 3/1.
Multiplying the numerators together (3 * 3) gives us 9, and multiplying the denominators together (10 * 1) gives us 10.
Therefore, the answer is 9/10 or "Start Fraction 9 over 10 End Fraction."