The fraction models below represent two fractions of the same whole. how much of the fraction 3 over 8 is in the fraction 1 over 4?

a. 1/4

b. 1/3

c. 2/3

d. 3/4

The answer is:   [C]:  2/3 .
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Explanation:
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  →  (3/8) x = 1/4 ; Solve for "x"; 
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  → Divide EACH side of the equation by "(3/8)" ; to isolate "x" on one side of the equation; and to solve for "x" ;
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                      → [ (3/8) x ] / (3/8) = (1/4) / (3/8) ;
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                           →   x =   ÷    ;
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                           →   x =   *    ;
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 →  The "4" cancels to a "1"; and the "8" changes to a "2"; since 
                              "8÷4 = 2 = 2/1" ;
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         Rewrite as:   
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                           →   x =   *     ;
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                           →  x   =   1 *   ;
                           
                           →  x  =  ;  which is:
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                                   → Answer choice:  [C]:  2/3  .  
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