Question

every 1/2 hour Naomi stretches her neck; every 1/3 hour she stretches her legs; every 1/6 hour she stretches her arms. what part of her body will Naomi stretch when 2/3 of an hour passes?

Answer 1

She will stretch all the parts of the body that
`(2)/(3)` is a multiple of

She will not strech her neck,
`(1)/(2)` multiplied will not give
`(2)/(3)`

She will however stretch her legs, this will be the second time this hour:

`(1)/(3)+(1)/(3) =(2)/(3)`


She will also stretch her legs, this will be the forth time this hour:

`(1)/(6)*4 =(4)/(6)=(2)/(3)`