Question

Sam has a piece of rope that is 3 1/2 feet long. He cuts the rope so that one piece is 1 1/3 feet long what is the length of the other half?

Answer 1

`3(1)/(2)=(3\cdot2+1)/(2)=(7)/(2)`
`1(1)/(3)=(1\cdot3+1)/(3)=(4)/(3)`

The length of the other half is:

`(7)/(2)-(4)/(3)=(7\cdot3-4\cdot2)/(2\cdot3)=(21-8)/(6)=(13)/(6)`
`(13)/(6)=(12+1)/(6)=(12)/(6)+(1)/(6)=2+(1)/(6)=2(1)/(6)\text{ fe}et`