Question 1190845
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The railing of a stairway extends onto a landing. 
The distance between the end posts of the railing on the landing is 22 3/4 inches. 
Five posts are to be inserted, evenly spaced, between the end posts. 
Each post has a square base that measures 1 1/4 inches. 
Find the distance between each pair of posts.
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Free space between the end posts before inserting five posts is  22 3/4 inches.


Free space between the end posts AFTER  inserting five posts is  22 3/4 MINUS 5 times 1 1/4 inches, or

    {{{91/4 - 25/4}}} = {{{66/4}}} inches.


After inserting five posts, it will be 6 gaps between end posts, and each gap will be  {{{66/4}}} : 6 = {{{11/4}}} inches.


<U>ANSWER</U>.  The distance between each pair of neighbor posts will be {{{11/4}}} = {{{2}}} {{{3/4}}} inches.
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Solved.