Question

68 1/4% as a decimal

Answer 1

Answer:   The correct answer is:  " 0.6825 ".

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Step-by-step explanation:

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We are asked to convert:  " 68 $\frac{1}{4}$ % " ;  to a "decimal" .

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1)  Rewrite:  " 68 $\frac{1}{4}$ " ;   as a "decimal value" :

           " 68 $\frac{1}{4}$ "  =   68 + $\frac{1}{4}$ ;

         →  " $\frac{1}{4}$ "  =  1 / 4  =  1 ÷ 4 =  0.25  . (use calculator).

Or:     →    " $\frac{1}{4}$ "  =  " $\frac{?}{100}$ " ;

   

→  Find the "?" value:

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Let us consider the "denominators" ;

          →    4 * (what value)  =  100 :  

            →  100/ 4 = 100 ÷ 4 = 25 .

So:   4 * 25  = 100;  

So, to find the "?" value in the numerator:

→   1 * 25 = ("?") ;  

→   1 * 25 = 25 ;

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So, we have:

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→    " $\frac{1}{4}$ "  =  " $\frac{?}{100}$ " ;

Rewrite; and replace the "?" value with our know value:  " 25 " :

→    " $\frac{1}{4}$ "  =  " $\frac{25}{100}$ " ;

Note that:  " $\frac{25}{100}$ "  ;

                        =  25/100 = 25 ÷ 100  = 0.25  .  {Use calculator.}.,

               Or:  25 ÷ 100 = ?   ;  

→  When dividing by "100" ;  we take the number; and move the decimal point  back 2 (two) spaces;  since "100" has 2 (two) zeros.

                             →   25 ÷ 100  =  25.  ÷  100  =  .25;  

                                   →  write as:  " 0.25" .

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So:  " 68  $\frac{1}{4}$ "  =   68  +  0.25 =   68.25  .

As such:  " 68  $\frac{1}{4}$ % "  =  68.25 % ;

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Now, we write:  " 68.25 % " as a decimal ;

Note:  " % " ; or "percent" ;  means "per hundred" ; or "parts per hundred" ;

or;  "divide by 100" ;

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 So;  to write:  " 68.25 % " as a decimal ;

                         →   " 68.25 ÷ 100 "  =  0.6825 .  {← Use calculator.}.

                 Or:   → 68.2 ÷ 100 = ?   ;  

→  When dividing by "100" ;  we take the number; and move the decimal point  back 2 (two) spaces;  since "100" has 2 (two) zeros.

                             →   " 68.25 ÷ 100 "  ÷  100  =  .6825 ;  

                                   →  write as:  " 0.6825 " .

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The answer is:  " 0.6825 " .

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Hope this answer is helpful to you!

          Wishing you the best in your academic pursuits

                — and within the "Brainly" community!

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