Question 1186578
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Which number is closer to one, 7/8 or 8/7?
Explain without converting to decimals or using common denominators.
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<pre>
Notice that  {{{7/8}}}  is  {{{1/8}}}  of a unit less than 1.


So,   {{{7/8}}}  is  {{{1/8}}}  of a unit to the left from 1.  
 
      Therefore,   {{{7/8}}}  is remoted   {{{1/8}}}  of a unit from 1.




Next,  {{{8/7}}}  is  {{{1/7}}}  of a unit greater than 1.


So,   {{{8/7}}}  is  {{{1/7}}}  of a unit to the right from 1.  

      Therefore,   {{{8/7}}}  is remoted  {{{1/7}}}  of a unit from 1.



Since  {{{1/8}}}  is less  than  {{{1/7}}},  we see,  that  {{{7/8}}}  is CLOSER to  1  than  {{{8/7}}}.
</pre>

Solved and explained.