Question 762994
The lowest common denominator for 2 and 5 is 10.  Form the equivalent fractions for 1/2 and 3/5 in denominations of (1/10).  What fractions with this denomination are or is between 1/2 and 3/5?
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So you see the next problem is you need a denomination smaller than (1/10).  What denomination do you want?  Try anything.   Pick a small factor, like 2 so use a common denominator of maybe, {{{2*2*5}}}, which is 20.


Now, find the equivalent fractions for (1/2) and (3/5) in denominations of (1/20).  NOW you can find some choices for what rational number is between (1/2) and (3/5).




What is between {{{(10/20)}}} and {{{(12/20)}}} ?