Question

_ -0.38 written as a fraction is ._____O -7/18O 2/5O -15/36​

Answer 1

Answer:  The correct answer is:  [A]:  "  $-\frac{7}{18}$  " ; or, write as:  " $\frac{-7}{18}$ " .

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Step-by-step explanation:

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We are asked:  

What is:  " - 0.38 " ;  written as a fraction? ;

         → And we are given 3 (three) answer choices:

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[A]:  " -7/18 " ;   [B]:  " 2/5 " ;  and: [C]:  " -15/36 ".

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Of these 3 (three) choices:

 We can rule out "Choice [B]".

Reason:  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:  Choices:  [A] & [C].

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Between: [A]: " -7/18" ; and [C]:  "-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":

     $\frac{-15}{36} = \frac{(-15/3)}{(36/3)} = \frac{-5}{12}$  ;

  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 " :

                    →  $\frac{-7}{18} = \frac{?}{36}$ ;

                    →  Looking at the denominators:

                            " 18 * ? = 36 " ;

                          Divide each side by "18" ;

                             " (18 * ?)" / 18 = 36/18 ;

                                      " ? = 2 " ;

                    →   " $\frac{-7}{18} = \frac{(-7*2)}{(18*2)} = \frac{-14}{36}$ " ;

                Choice [C]:  " -15/36 " :

                    →   " $\frac{-15}{36} = \frac{?}{18}$  " ;

                    →  Looking at the denominators:

                            " 36 ÷ ? = 18 " ;    

                    →  " $\frac{36}{?} = 18$ " ;

                       → " $18*? = 36$ " ;

                         Divide each side by "18" ;

                            " (18 * ?)" / 18 = 36/18 " ;

                                   " ? = 2 " ;

                    → " $\frac{-15}{36} = \frac{(-15/2)}{(36/2)}=\frac{-7.5}{18}$ "

                Additionally: other:

                   → " $\frac{-15}{36} = \frac{(-15/3)}{(36/3)}=\frac{-5}{12}$

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So, we are left with 2 (two) answer choices:

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Choice: [A]:  " $\frac{-7}{18} = \frac{-14}{36}$ " ;

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Choice: [C]: " $\frac{-15}{36} = \frac{-7.5}{18} = \frac{-5}{12}$ " ;

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Using a calculator:

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Choice:  [A]:  " $\frac{-7}{18}$ = ( -7 ÷ 18) =  - 0.3888888888.... " ;

And:

Choice:  [C]: " $\frac{-15}{36}$ = ( -15 ÷ 36) = -0.41666666666 ;

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So:  The best answer—and correct answer—is clearly:

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 Answer choice:  [A]: " $- \frac{7}{18}$ " ;  or write as: " $\frac{-7}{18}$ " .

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Also: Note:  Choice: [A]:  " - 7/18 " ;

  → " (- 7 ÷ 18 =  - 0.38888888888... )" ;  using calculator.

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Note that the digits "8" keep repeating.

Note that this very Brainly question:

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 " brainly.com/question/24891747 " ;

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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]:  $\frac{2}{5}$; a positive value; equal to: " + 0.4".}. ;

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Assuming: we are given:  " - 0.38 ;  with a repeating bar on the (digit; "8") ;

meaning the "8" goes on infinitely:

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Let:  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 = $\frac{-3.5}{9} = \frac{(-3.5)*10}{9*10} = \frac{-35}{90}$ " ;

This fraction is not among choices [A] or [C];  and it can be further reduced/simplified:

    →  " $\frac{-35}{90}$ "  ;  Divide Each side by "5" :

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    →  " $\frac{(-35/5)}{(90/5)} = \frac{-7}{18}$ " ;

    →  which is:  Answer choice:  [A]:  " $\frac{-7}{18}$ " .

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Hope this lengthy explanation is of help to you!

 Best wishes!

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Answer 2

19
50 because -0.38= 38/100