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

Answer:

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

Step-by-step 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

Answer 2

Answer:

$The\ total\ wood\ will\ the\ project\ have\ used\ be\ 9 \frac{3}{8}.$

Step-by-step explanation:

As given

$Quentin\ has\ 6 \frac{5}{8}\ feet\ of\ lumber\ but\ needs\ another\ 2 \frac{3}{4}\ feet\ to\ complete\ the\ project\ he's\ working\ on.$

i.e

 $Quentin\ has\ \frac{53}{8}\ feet\ of\ lumber\ but\ needs\ another\ \frac{11}{4}\ feet\ to\ complete\ the\ project\ he's\ working\ on.$        

 $Total\ wood\ will\ the\ project\ have\ used =\frac{53}{8} + \frac{11}{4}$

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

Than

$Total\ wood\ will\ the\ project\ have\ used =\frac{53 + 11\times 2}{8}$                              

$Total\ wood\ will\ the\ project\ have\ used =\frac{53 + 22}{8}$       $Total\ wood\ will\ the\ project\ have\ used =\frac{75}{8}$  

$Total\ wood\ will\ the\ project\ have\ used = 9 \frac{3}{8}$  

$Therefore\ the\ total\ wood\ will\ the\ project\ have\ used\ be\ 9 \frac{3}{8}.$