23/5 = 13/5 so its reciprocal is 5/13
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3 and 2 5ths as a fraction = 3 2/5 or 17/5
(2 ÷ 5) × 3 = 1.2
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If you mean 2/3 then the reciprocal is 3/2
The reciprocal of [ 2 over 3 ] is [ 3 over 2].1 / (2/3) = (3/2).