If = , then = ?
First we do it the long way, and then we look
at a shortcut.
=
=
Substitute for since
they are given to be equal.
Write the 1 as
Write that as
This is the correct answer. HOWEVER,
you are probably supposed to do it
by a short cut rule of proportions:
The rule is:
If you have a proportion, then you may add
the denominators to the numerators on both
sides and the result is still a proportion
So you can do this problem using this short cut:
Start with this:
=
Notice that you want to find . So
you notice that this is with the
denominator t added to the numerator . Therefore
you can just do that same thing on the right and
add the denominator to the numerator u and get
=
Edwin
