Game Development Reference
In-Depth Information
first carrying out the work involving the fractions, you can more easily attend to
the operations related to addition and multiplication.
Once again, when you substitute the solution back into the original equation,
you can test the solution for validity. In this case, you also work with the least
common denominator to reduce the resulting fraction to its most simple form:
x
3
þ
4
7
¼
2
3
Original equation
:
1
3
þ
4
7
¼
2
3
x
Original equation rewritten
:
2
7
1
3
þ
4
7
¼
2
3
Substitute solution into equation
:
2
21
þ
4
7
¼
2
3
Do the multiplication first
:
2
21
þ
4
ð
3
Þ
7
ð
3
Þ
¼
2
3
Find LCD on left side
:
2
21
þ
12
21
¼
2
3
14
21
¼
2
3
Finding the most simple form.
As has been discussed previously, with many equations you make your work
easier if you perform some preliminary activities involving addition or sub-
traction. Here's an example of a problem in which you start off by reversing an
addition operation and then moving on to clear a fraction and solve for
x
:
2
x
3
þ
4
¼
21
2
x
3
þ
4
4
¼
21
4
Undoing the addition
:
Clearing the fraction.
2
x ¼
51
51
2
x ¼
