8 qt/min=___gal/h
Start out with this fraction
8 qt
-------
1 min
Now we need to cancel away the "qt" in the top.
We use the fact that 4 qt = 1 gal, to create
a fraction which equals 1 to multiply that
by, which has "qt" on the bottom to cancel
away the "qt" in the top.
Such a fraction is
1 gal
-------
4 qt
so we multiply by that:
8 qt 1 gal
------- × --------
1 min 4 qt
And then the "qt"'s cancel out:
1
8 qt 1 gal
------- × --------
1 min 4 qt
1
Next we need to create another
fraction that equals 1 to
cancel away the "min" in the
bottom of the first fraction.
We know that 60 min = 1 h, so
we create the fraction
60 min
--------
1 h
to multiply by. Notice we
put "min" in the top to
cancel away the "min" in
the bottom in the first
fraction. So now we have:
1
8 qt 1 gal 60 min
------- × -------- × --------
1 min 4 qt 1 h
1
Now the "min"'s cancel out
like so
1
8 qt 1 gal 60 min
------- × -------- × --------
1 min 4 qt 1 h
1
Now all the units have canceled
except "gal" in the top and "h"
in the bottom, which are the
units we want, so we have
8×60 gal
-----------
4 h
Now we can cancel the 4 into the 8 and get 2
2
8×60 gal
------------
4 h
1
So we end up with
2×60 gal
----------
1 h
or
120 gal/h
Edwin
