Question

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

Answer 1

Answer:

I believe it is 8 and 75/100.

Step-by-step explanation:

Answer 2

Answer:

$\frac{7}{80}$

Step-by-step explanation:

Note:

=  3/4

=  3 ÷ 4  {use calculator}

0.75

Rewrite as:

3/4=75/100

Note:  75/100

 =   75 / 100  =  75 ÷ 100

 →   Use calculator:   = 0.75

75 ÷ 100 = ? ;

    → 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.

Therefore, 8 3/4=8+3/4=8+.75=8.75

Hence, 8 3/4=8.75.

Key: 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 "

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 " .

So, this value:  " 0.0875 " ;  

         →  is equal to:  =  " 875 ÷ 10000 "  = " 875 ÷ 10,000 "

 Using a calculator:

      " 875 ÷ 10,000 "  = 7/80

Hence, the answer is 7/80.