Question 1178018
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A sporting goods manufacturer has 9 2/7 yd of fabric to make soccer shorts. 
Each pair of soccer shorts requires 5/6 yd of fabric. 
How many pairs of soccer shorts can be​ made with the 9 2/7 yd?  How much material will be left​ over?
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<pre>
Divide the greater number  9 {{{2/7}}} = {{{63/7}}} + {{{2/7}}} = {{{65/7}}}  by the lesser number  {{{5/6}}} 


    {{{((65/7))/((5/6))}}} = {{{(65*6)/(5*7)}}} = {{{(13*6)/7}}} = {{{78/7}}} = 11 {{{1/7}}}.


The integer part of it,  11,  is the number of pairs of soccer shorts.


The material which left over is   {{{65/7}}} - 11 * {{{5/6}}} = {{{65/7}}} - {{{55/6}}} = {{{(65*6)/(7*6)}}} - {{{(55*7)/(7*6)}}} = {{{(65*6-55*7)/(7*6)}}} = {{{5/42}}}  yards.    <U>ANSWER</U> 
</pre>

Solved.