Question

Sandy was told to practice playing flute for 2 5/12 hours per day sandy has already played 1 1/9 hours today how many hours does sandy still need to practice today?

Answer 1

`1(11)/(36)`

Explanation:

Given:

Sandy was told to practice playing flute for =
`2(5)/(12)` hours per day

Sandy has already played =
`1(1)/(9)` hours today

To find:

how many hours does sandy still need to practice today?

Solution:

we can find simply by subtracting,

Sandy was told to practice playing flute for =
`2(5)/(12)` hours per day

=
`(12*2 +5)/(12)` =
`(24+5)/(12) = (29)/(12)`

Sandy has already played today =
`1(1)/(9)` hours today

=
`(9*1+1)/(9) = (10)/(9)`

Sandy still need to practice today =
`(29)/(12) - (10)/(9)`

Taking LCM of 12 and 9 = 36

=
`(29*3-4*10)/(36)`

=
`(87-40)/(36)`

=
`(47)/(36)` =
`1(11)/(36)`

Therefore,
`1(11)/(36)` hours still need to practice today.