Given that
and
are two rational numbers with different denominators and both of them are in standard form. To compare these rational numbers we say that:
(a) 
if p × s < r × q
(b) 
if _______ = ______
(c) 
if p × s > r × q
(a) If p × s < r × q
By cross multiplication,
Since, 
and 
are two rational numbers
⇒ 
(b) Using cross multiplication we get,
⇒ p × s = q × r
(c) If p × s > r × q
Since, 
and 
are two rational numbers
⇒ 
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