Unknown mixed number

Find the number that is smaller than 5 5/12 by as much as 2 2/13 is smaller than 6 1/6

Correct result:

x =  1.404

Solution:

 (5+5/12)−x=(6+1/6)−(2+2/13)  156x=219  x=7352≐1.403846=1.404 \ \\ (5+5/12) - x=(6+1/6) - (2+2/13) \ \\ \ \\ 156x=219 \ \\ \ \\ x=\dfrac{ 73 }{ 52 } \doteq 1.403846=1.404

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