Question

A fraction x/y can be expressed as a terminating decimal if y has no prime factors other than . (A)2,3 (B)3,5 (C)2,5 (D)2,3,5

Answer 1

Answer is (c)2,5

y should be in the form 2^n5^m, where m and n are whole numbers

Answer 2

Answer:

Option (C) is correct

Step-by-step explanation:

$Let \:x =\frac{p}{q}\: be\:a\: Rational \: number,\\</p><p>such \: that \:the\:prime\: factorisation\:of\:q\:is\:of\\the\:form \:2^{n}\times 5^{m},\:where\:n,m\:are\\non-negative\:integers.Then \:x\:has \:a\: decimal\\expansion \:which \: terminates$

$Here, A\: fraction \: \frac{x}{y}\:can\:be\\ expressed\:as \: a \: terminating \: decimal \: if \\denominator \: y \: has \: no \: prime\: factors\\other\: than \: 2\: and \: 5$

Therefore,

Option (C) is correct

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