What is the solution for 38= 1 3/10b

 b = 380/13; or,  29.2307692307692308 ;  round to: 29.231 .

Explanation:

Method 1:

(1.3) b = 38 ;

Divide each side by "(1.3)" ; to isolate "b" on one side of the equation; and to solve for "b" ;

   
(1.3)b / (1.3)  = 38 / (1.3) ;

     b  =  29.2307692307692308 ;  or write as:  29.231 .


Other method:  (13/10) * b = 38 ;    rewrite, substituting:  "(380/10)" for "38" ;

                          (13/10) * b = (380/10)  ;

          Divide EACH SIDE of the equation by: "(13/10)" to isolate "b" on one side of the equation; and to solve for "b" ;

         [(13/10)b] / (13/10) = (380/10) / (13/10) ;

                               b  = (380/10) / (13/10) ;

          (380/10) / (13/10) = (380/10) *(10/13) ;  The "10s" cancel out to "1";

Rewrite as:  (380)* (1/13) = 380 / 13;  or; 29.2307692307692308; 

   b = 380/13; or; 29.230769230769230 ;  round to 29.231 .