10 c/min=____qt/h
Start out with this fraction
10 c
-------
1 min
Now we need to cancel away the "c" in the top.
We use the fact that 4 c = 1 qt, to create
a fraction which equals 1 to multiply that
by, which has "c" on the bottom to cancel
away the "c" in the top.
Such a fraction is
1 qt
------
4 c
so we multiply by that:
10 c 1 qt
------- × ------
1 min 4 c
And then the "c"'s cancel out:
1
10 c 1 qt
------- × ------
1 min 4 c
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
10 c 1 qt 60 min
------- × ------ × --------
1 min 4 c 1 h
1
Now the "min"'s cancel out
like so
1 1
10 c 1 qt 60 min
------- × ------ × --------
1 min 4 c 1 h
1 1
Now all the units have canceled
except "qt" in the top and "h"
in the bottom, which are the
units we want, so we have
10×60 qt
----------
4 h
Now we can cancel the 4 into the 60 and get 15
15
10×60 qt
----------
4 h
1
So we end up with
10×15 qt
--------
1 h
or
150 qt/h
Edwin
