Question

Alex bought home a 7 11/12 foot tree. When he got it home,he cut 1 2/3 off of it. How tall is the tree after he cut it down

Answer 1

Given:

Initial height of tree =
`7(11)/(12)` foot

He cut
`1(2)/(3)` off of tree.

To find:

The remaining height of tree after cut.

Solution:

Initial height of tree is

`7(11)/(12)=(7* 12+11)/(12)`

`7(11)/(12)=(84+11)/(12)`

`7(11)/(12)=(95)/(12)`

He cut
`1(2)/(3)` off of tree.

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

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

`1(2)/(3)=(5)/(3)`

Now,

Remaining height = Initial height - cut

`=(95)/(12)-(5)/(3)`

`=(95-20)/(12)`

`=(75)/(12)`

`=(25)/(4)`

`=(6* 4+1)/(4)`

`=6(1)/(4)`

Therefore, the remaining height of the tree is
`6(1)/(4)` foot.