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 2/11 has a terminating decimal ofTypes of Rational Decimal Expansion 2 I Proof m=n is terminating if and only if m=n = m 2u5v Mt 10t I m=n is simpleperiodic if and only if we can cancel the decimals by shifting one period, ie (10r n1)m= = MsI m=n is delayedperiodic if and only if we can cancel the decimals by shifting one period and moving the period t places, ieSo, 167 has a terminating decimal expansion (ii) 150=2×3×52 =2×3×5213 Since it is not in the form 2m×5np, has a nonterminating and recurring decimal expansion Ex 1 3 1 Write The Following In Decimal Form And Say Ex 1 3 2/11 decimal expansion