The correct answer is:  [A]:  "   " ; or, write as:  " " .
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Step-by-step explanation:
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We are asked: Â
What is: Â " - 0.38 " ; Â written as a fraction? ;
     → And we are given 3 (three) answer choices:
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[A]: Â " -7/18 " ; Â [B]: Â " 2/5 " ; Â and: [C]: Â " -15/36 ".
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Of these 3 (three) choices:
 We can rule out "Choice [B]".
Reason: Â This answer choice is the only "positive value" among the 3 (three) answer choices) ; and our given decimal value is a "negative value."
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So we have: Â Choices: Â [A] & [C].
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Between: [A]: " -7/18" ; and [C]: Â "-15/36 " ;
We can look at each choice; and notice the following:
  1) Answer choice [C]: can be further simplified as a fraction;  since both the numerator AND the denominator can be divided (evenly) by "3":
    ;
 2)  Choice [C]:  has a denominator of "36" .
   Choice  [A]: has a denominator of "18" ; which is "one-half" the value of "36" .
     So:  Choice: [A}:  " -7/18 " :
          →  ;
          →  Looking at the denominators:
              " 18 * ? = 36 " ;
             Divide each side by "18" ;
               " (18 * ?)" / 18 = 36/18 ;
                   " ? = 2 " ;
          →  " " ;
        Choice [C]:  " -15/36 " :
          →  "  " ;
          →  Looking at the denominators:
              " 36 ÷ ? = 18 " ;  Â
          →  " " ;
            → " " ;
             Divide each side by "18" ;
              " (18 * ?)" / 18 = 36/18 " ;
                  " ? = 2 " ;
          → " "
        Additionally: other:
          → "
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So, we are left with 2 (two) answer choices:
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Choice: [A]: Â " " ;
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Choice: [C]: " " ;
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Using a calculator:
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Choice:  [A]:  " = ( -7 ÷ 18) =  - 0.3888888888.... " ;
And:
Choice:  [C]: " = ( -15 ÷ 36) = -0.41666666666 ;
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So:  The best answer—and correct answer—is clearly:
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 Answer choice:  [A]: " " ;  or write as: " " .
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Also: Note: Â Choice: [A]: Â " - 7/18 " ;
 → " (- 7 ÷ 18 =  - 0.38888888888... )" ;  using calculator.
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Note that the digits "8" keep repeating.
Note that this very question:
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 " " ;
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Is written as follows:
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" _
 -0.38 written as a fraction is ._____  ....and continues" ;
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→ so it could have been written meaning to denote that there was a "repeating bar" on the digit "8" in the decimal.
→ If so, here is one way the answer could be solved without a calculator:
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{We would rule out "choice: [B]: Â ; a positive value; equal to: " + 0.4".}. ;
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Assuming: we are given: Â " - 0.38 ; Â with a repeating bar on the (digit; "8") ;
meaning the "8" goes on infinitely:
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Let: Â x = - 0.38 (with the repeating bar on the (digit, "8" ) ;
And thus: "10x" would equal "10 times that value:
 →  10x = - 3.8 (with a repeating bar on the (digit, "8") ;
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10x − 1x = 9x ;
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 10x  =  - 3.8888888888888888888......
−  1x  =  - 0.38888888888888888888......
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  9x =  - 3.5 00000000000000000000.
{Note: " 10x − 1x = 9x " ;  " - 3.8 − (-0.3) =  - 3.8 + 0.3 =  -3.5 "} ;
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→   9x =  - 3.5 00000000000000000000 ....
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 →  9x = - 3.5 ;
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Now, divide Each Side of the equation by "9" ;
 to isolate "x" on one side of the equation;
 and to solve for "x" :
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 →  9x / 9 =  - 3.5 / 9 ;
to get:
  →  x = - 3.5 / 9 ;
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Now, to get rid of the decimal value; multiple each side of the equation by  "10" :
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  →  " x = " ;
This fraction is not among choices [A] or [C]; Â and it can be further reduced/simplified:
  →  " "  ;  Divide Each side by "5" :
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  →  " " ;
  →  which is:  Answer choice:  [A]:  " " .
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Hope this lengthy explanation is of help to you!
 Best wishes!
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