Suggestions for this self exam: |
[A] |
Study text section 4.3 , but then keep your book closed during this
entire test |
[B] |
Enter your answers in the boxes provided. Check them when you've finished. |
[C] |
Remember the general rules: |
a b |
= |
ac bc |
and also |
a d |
+ |
b d |
= |
a + b d |
|
[D] |
The LCD ("least common denominator": "d" in the paragraph above),
is the smallest number which is a multiple of all denominators in a sum.
Typically, we find the LCD
by factoring all denominators into prime (unfactorable) expressions.
The LCD then includes any prime expression as a factor, and
includes it as many times as that denominator which contains
it most abundantly. |
|
Thus, for |
13 12 |
+ |
11 18 |
= |
13 (22)(3) |
+ |
11 (2)(32) |
, the LCD is (22)(32) = 36. |
|
|
Hence: |
13 12 |
+ |
11 18 |
= |
(13)(3) (12)(3) |
+ |
(11)(2) (18)(2) |
= |
(13)(3)+ (11)(2) 36 |
= |
61 36 |
|