What is 8 3/4%expressed as a fraction?

7/80

Step-by-step explanation:

sart with the:  " 8   "  portion:

Start with the:  "  "  portion :

Note:  "  " ;

                          =  3/4 ;

                          =  3 ÷ 4 ;  {use calculator} ;

                          =  0.75  .

Or;  recognize, from experience, that:  "3/4" = " 0.75 " .

Or:  Calculate as follows:

         →  "   =  " ;  

         →   Solve for the:  "(?)" value:

Consider the "denominator" portions:

        →  " 4 * {what value?} = 100 " ;

        →  100/4 = 100 ÷ 4  = 25 ;  

        →  So:  " 4 * {25}  = 100 ;

Now, consider the "numerator" portions:

        →  " 3 * {25}  = "{?}" ;

        →  " 3 * {25}  = " 75 " ;

Now, we can rewrite the expression;

          & replace the "{?}" — with:  " 75 " ;  as follows:

The original expression:

         →  "   =  " ;  

Rewrite as:

         →  "   =  " ;  

Note:  "  "  ;

                      =   75 / 100  =  75 ÷ 100 ;  

         →   Use calculator:   = 0.75 ;

                              Or:  75 ÷ 100 = ? ;

    →  Note:  when dividing by "100" ; we take the original value, and move that number backward "2 (two) decimal spaces".  We move "backward" because we are "dividing" (not "multiplying") ; and we move 2 (two) decimal spaces because:  " 100" has 2 (two) zeros.

    →  " 75 ÷ 100  =  75.  ÷  100  =  .75  ;

                              →  Write as:  " 0.75.

So:  " 8   "  ;

         =  8  +    ;

         =   8  + 0.75 ;

        =   8.75  .

So:  " 8  % " ;  

         =  8.75 % ;

Note that " % " ;  refers to parts per hundred;  or:  "divided by 100" ;

      →  So:   " 8.75 % " ;

                 = 8.75 / 100 = 8.75 ÷ 100 ;  

      →  Use calculator; to get:  " 0.0875 " .

Or:  " 8.75 ÷ 100 " ;   →  As aforementioned, when dividing by "100" ;

                                  we move the decimal point "backward 2 (two) spaces:

     →   " 8.75 ÷ 100  =  .0875 ;

                         →  Write as:  " 0.0875 " .

Now, let us convert this value to a "fraction value" ;

   →  We have:  " 0.0875 ;

We look at the last consecutive non-zero digits:  "875" .

  →  How many decimal spaces backward from "875" ;  specifically, the digit, "5" ;  are there (counting backward; to the actual decimal point)?

 →  0.0875 .  →  The answer is:  "4 (four)" ;  which are: 5, 7, 8, and 0 " .

                              {Refer to digits in "bold font".}.

So, this value:  " 0.0875 " ;  

         →  is equal to:  " 875 " ÷ { 1 followed by 4 [four] zeros } ;

                              =  " 875 ÷ 10000 " ;

                              = " 875 ÷ 10,000 " ;

 Using a calculator:

      " 875 ÷ 10,000 "  = "  " ;

                                   = "  " .

The answer is: "   " .

Hope this is helpful to you!

      Best wishes to you!

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7/80

Step-by-step explanation:

8 3/4%

(8*4+3) / 4%

35)/4

100           divide by 100 to convert to fraction

35/400

7/80