Question

Quentin has 6 5/8 feet of lumber but needs another 2 3/4feet to complete the project he's working on. How much total wood will the project have used when finished?

Answer 1

`The\ total\ wood\ will\ the\ project\ have\ used\ be\ 9 (3)/(8).`

Explanation:

As given

i.e

`Total\ wood\ will\ the\ project\ have\ used =(53)/(8) + (11)/(4)`

L.C.M of (8,4) = 8

Than

`Total\ wood\ will\ the\ project\ have\ used =(53 + 11* 2)/(8)`

`Total\ wood\ will\ the\ project\ have\ used =(53 + 22)/(8)`
`Total\ wood\ will\ the\ project\ have\ used =(75)/(8)`

`Total\ wood\ will\ the\ project\ have\ used = 9 (3)/(8)`

`Therefore\ the\ total\ wood\ will\ the\ project\ have\ used\ be\ 9 (3)/(8).`

Answer 2

Total wood required for the project will be 9 3/8 feet.

Explanation:

As given in the question Quentin has lumber of length = 6 5/8

feet =53/8 feet.

Now Quentin needs more lumber = 2 3/4 feet =11/4 feet or 22/8 feet.

So we can get total wood required by adding these two figures

That is = 53/8 + 22/8

= (53 +22)/8

= 75/8

= 9 3/8 feet