Answer
Find out the how much twine will he needs to pack 29 cartons today .
To proof
As given
uhammad, a shipping and receiving clerk, uses 1 yard, 2 feet, 4 inches of twine to wrap each carton he packs.
As given in the question
Convert the answer to larger units .
As between yard is the largest unit between yard, feet and inches.
[tex]1 inches = \frac{1}{36} yard[/tex]
and
[tex]1 feet = \frac{1}{3} yard[/tex]
Convert 2 feet into yard
[tex]=\frac{2}{3}[/tex]
Convert 4 inches into yard
[tex]= \frac{4}{36}[/tex]
twine to wrap each carton packs
[tex]= 1 + \frac{2}{3} + \frac{4}{36}[/tex]
L.C.M of (3 , 36) = 36
than the equation becomes
[tex]=\frac{36 +2\times 12 + 4}{36}[/tex]
[tex]= \frac{64}{36}[/tex]
=1.77777778 yard
Now twine to wrap pack 29 cartons = 29× 1.77777778
= 51.5555556 yard
Now twine to wrap pack 29 cartons is 51.55 yard ( approx)
Hence proved