SOLUTION: How many 3 1/3' feet pieces of wire can you cut from a 68' foot long

Question 484159: How many 3 1/3' feet pieces of wire can you cut from a 68' foot long
Found 2 solutions by jorel1380, Theo:
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
68/3.33333=20.4 pieces
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
you need to divide 68 by (3 and 1/3)
3 and 1/3 is equivalent to 10/3
you need to divide 68 by 10/3.
this is equivalent to multiplying 68 by 3/10.
your answer becomes (68*3)/10 which is equal to 204/10 which is equal to 20.4
the integer portion of 20.4 is the number of (3 and 1/3) feet pieces of wire you can cut from the 68 foot long wire.
the fractional portion is what's left over.
the integer part comes out to be a total of 20 * (3 and 1/3) = (60 + 20/3) which is equal to (66 + 2/3) feet.
the fractional part comes out to be a total of .4 * (3 and 1/3) = 4/10 * (3 and 1/3) = (4/10 * 3) + (4/10 * 1/3) = (12/10 + 4/30)
you have the 20 * (3 and 1/3) feet length that come up to a total of (66 and 2/3 feet).
you have the .4 * (3 and 1/3) feet length that comes up to a total of (12/10 + 4/30 feet). this is equivalent to (36/30 + 4/30) = 40/30 = 4/3 = (1 and 1/3).
add (66 and 2/3) to (1 and 1/3) and you get (67 and 3/3) which comes up to be 68.
the calculations are correct.
your answer is that you can get 20 pieces of (3 and 1/3) foot lengths of wire from the 68 foot length wire with one remaining length of (1 and 1/3) feet.

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