Question 108562

{{{5/2=(4+1)/(2)=(4/2)+(1/2)=2+1/2}}}

{{{7/3=(6+1)/(3)=(6/3)+(1/3)=2+1/3}}}


Let's compare {{{2+1/2}}} and {{{2+1/3}}}


{{{2+1/2}}}  ?  {{{2+1/3}}}
{{{2-2+1/2}}} ?  {{{2-2+1/3}}}
{{{0+1/2}}}  ?  {{{0+1/3}}}
{{{1/2}}} ? {{{1/3}}}


NOte: if two fractions are given to be {{{1/p}}} and {{{1/q}}}, and p < q, then {{{1/p}}} is greater than {{{1/q}}}


Thus, {{{1/2}}} is greater than {{{1/3}}} and therefore, {{{5/2}}} is greater than {{{7/3}}}

SINCE 2 and 3 are prime to each other then their least common multiple (LCM) is {{{2*3=6}}}


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