Q2. Condition satisfied by q so that rational number in lowest form as

1.	Q2. Condition satisfied by q so that rational number in lowest form as plahas a terminating decimal expansion. a) Q = 3m x 2n; where mand n arewhole numbers b) Q = 2m x 3n; where m and n are whole numbers c) Q =3m x 5n; where m and n are whole numbers d) None of these
Answer» $\underline{\blue{Theorem:}}$ $Let \: Q \: be \: a \: rational \:number \: whose$ $decimal \: expansion \:terminates . Then \:Q$ $can \:be \: expressed \: in \:the \: form \:of \:\frac{p}{q},$ $where \:p \:and \: q \: are \: Coprime , and \:the$ $prime \: Factorisation \: of \: \pink{q} \: is \: of$ $the \:form \: \orange { 2^{n} 5^{m}} ,where$ $n, m \: are \: non - negative \:integers .$ THEREFORE., $Option \: \green { ( d ) } \: is \: correct.$ ••••