Carl has three lengths of cable,5
_
6
yard long,
1
_
4
yard long,
and
2
_
3
yard long. He needs at least 1 yard of cable.
a
Which two pieces together make a length at least
1 yard and closest to 1 yard?
b
If Carl uses the two shortest pieces, how much more cable would he need?

Answers

Answer 1

Answer: Lowest common denominator for 3,4,6 is 12

5/6 = 10/12
1/4 = 3/12
2/3 = 8/12

a)
10/12 + 3/12 = 13/12 = 1 1/12
So you need to use first and second cables

b)
3/12 + 8/12 = 11/12
To reach 1 yard Carl need 1/12 yard cable

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