# What is 8 3\4% expressed as a fraction?

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## Question:

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

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Step-by-step explanation:

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Given:  ” 8 % ”  ;  Convert this to a “fraction” .

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:

→  ”  = ” ;

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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  ;

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→  Write as:  ” 0.75.

So:  ” 8  ”  ;

=  8  +    ;

=   8  + 0.75 ;

=   8.75  .

So:  ” 8 % ” ;

=  8.75 % ;

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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 ”  = ” ;

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= ” .

The answer is: ”   ” .

Hope this is helpful to you!

Best wishes to you!

They may hopefully assist the student solve the question by making use of the questions and answer examples. Then can certainly have some sharing in a group discussion and also learning with the classmate with reference to the topic, so another student also absorb some enlightenment and still keeps up the school learning.