Question

What is 4 3/4 divided by 3/4​

Answer 1

Answer:

Step-by-step explanation:

4 3/4 divided by 3/4

= 19/4 ÷ 3/4

= 19/4 ÷ 4/3

= 19/3

= 6 1/3

Answer 2

Answer:  " $\frac{19}{3}$ " ;

or, write as:  " $6\frac{1}{3}$ " ;

 or, write as:  "  6.333 " .

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Step-by-step explanation:

Method 1)

$4\frac{3}{4}$  ÷  $\frac{3}{4}$   ;

 =  4.75 ÷ 0.75 ;

 =   $\frac{4.75}{0.75}$ ;

Now, multiply Both the "numerator" AND the "denonimator" by "100" ; to get rid of both decimal values ;

        →   $\frac{4.75}{0.75}$  ;

                =  $\frac{4.75*100}{0.75*100}$  ;

Note:   Let us start with the "numerator":

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" 4.75 * 100 = ? " ;

            →  When we "multiply" by "100" ; we move the decimal place

           "Forward" by "2 (two) spaces" ;

            →  {that is;  "Forward" because we "multiply" ; and "2 (two)" spaces because we are multiplying by a positive integer value that begins with a "1" followed by:  "2 (two)" whole-number digits;  specifically;  we are multiplying by the number;  "100" .}.

            →  4.75 * 100 =  475.

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Now, continue with the "denominator":

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            →  0.75 * 100 =  75.

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Now, rewrite the expression:

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→   4.75 ÷ 0.75 ;

     =  $\frac{4.75*100}{0.75*100}$  ;

     =   $\frac{475}{75}$ ;

To simplify, divide Both the "numerator" AND the "denominator" by:  "25" ;

         →   $\frac{475}{75}$ ;

                  =  {475÷25} / {75÷25} ;  

                  =   19/3  ;

 Write the answer as:  

          →  " $\frac{19}{3}$ " ;  

                       

as the most simplified form of an "improper fraction" ;

or:       →   $\frac{19}{3}$  

                  =  19 / 3 = 19 ÷ 3 = ?  ;

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                           6  R 1    

                    3 ⟌19

                      - 18  

                           1

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     →  or:  write as:   " $6\frac{1}{3}$ " ;

or using calculator:  19/3 = 19 ÷ 3 = 6.333333.... ; →  round to:  " 6.333 " .

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The answer is:  "  $\frac{19}{3}$ " ;

    or, write as:  "  $6\frac{1}{3}$ " ;

    or, write as:  "  6.333 " .

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Method 2)   $4\frac{3}{4}$ ÷ $\frac{3}{4}$  = ? ;

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Convert:  " $4\frac{3}{4}$ " to an "improper fraction" ;

→   $4\frac{3}{4}$   ;  

→  Multiply the "4"  [taken from "4" in the "$\frac{3}{4}$" ];

                         

         by the "whole number , "4" ; to get "16" ;

then Add "3" [taken from the "3" in the "$\frac{3}{4}$" ];    

to the "16" ; to get:  

       →  16 + 3 ;

          =    " 19" ;

      → which is the "numerator" of the "improper fraction" form of the "original, mixed number version" ;

      →  The "4" [taken from "4" in the "$\frac{3}{4}$" ];  is the

"denominator" of the "improper fraction" form of the "original, mixed number version" ;

     →   And rewrite the mixed number:  " $4\frac{3}{4}$ " ;  as:

                          →  "   $\frac{19}{4}$ " .

Now, we can rewrite the original problem:

 

     →  $\frac{19}{4}$  ÷  $\frac{3}{4}$  ;

Note that "dividing by $\frac{3}{4}$ " ; is the same as:

               " multiplying by the reciprocal" [i.e. " $\frac{4}{3}$ " .].

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So, we can rewrite the original given expression in the problem as:

         →  $\frac{19}{4}$  *  $\frac{4}{3}$  ;

And simplify:   The "4's " cancel out to "1" ;  {since: "4÷4 = 1"};

and we are left with:  (19/1) * (1/3) = (19 * 1) / ( 1 *3) =  19 / 3 ;

And we can continue as aforementioned using "Method 1" above.

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Hope this is helpful to you!  Best wishes!

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