Since the numerator of the fraction is prime, and the denominator is not an integer multiple of the numerator, the proper fraction 29/38 is already expressed in its simplest form.
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2/3
Divide both by the same number. 38 over 133 38 divided by 38 over 133 divided by 38 1 over 3 1 third
(51 / 38) - (29 / 38) = (51 - 29) / 28 = 22 / 38 = 11/ 19 = 0.578947368421052631... (repeating)
Divide numerator & denominator by 2: 19/24
180/580 = 18/58 = 9/29