SOLUTION: how can i turn 300/45 to equal 6 2/3 without a calculator and without getting this number 6.66667 or turning that number to 6 2/3??

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Question 220112: how can i turn 300/45 to equal 6 2/3 without a calculator and without getting this number 6.66667 or turning that number to 6 2/3??
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
First let's reduce the fraction. This almost always makes a problem with fractions easier. Since 15 divides evenly into 300 and 45 we reduce the numerator and denominator by a factor of 15:
300%2F45+=+20%2F3
Now we can convert this improper fraction into a mixed number. Divide 20 by 3:
    6
   __
3 /20
   18
   --
    2

20 divided by 3 is 6 with a remainder of 2. So 20%2F3+=+6%262%2F3. (Note where the quotient and the remainder go in the mixed number.)