"8LA<WE WILL NOW APPLY WHAT WE HAVE LEARNED IN FINDING LEAST
<COMMON DENOMINATORS (LCD)- WHICH IS THE SMALLEST COMMON
(DENOMINATOR FOR 2 OR MORE FRACTIONS

EXAMPLE: 3/4;5/6
@FOR NOW WE WILL ONLY BE LOOKING AT THE DENOMINATORS 4 AND 6
"LET'S FIND THE LCM OF 4 AND 6
1. 4=2X2
   6=2X3
2. (2X2)+(2X3)=(2X2X3)
3.(2X2X3)=12
4. THE LCD IS 12

"LET'S TRY SOME SAMPLE PROBLEMS
 SAMPLE #1 3/8;5/12 FIND LCD
24
GOOD, LETS DO ANOTHER ONE
SORRY, THAT'S WRONG
 LET'S TRY THIS ONE TOGETHER

$THE DENOMINATORS ARE 8  AND  12
1. 8=(2X2X2)
  12=(2X2X3)
 2. (2X2X2)+(2X2X3)=(2X2X2X3)
3. (2X2X2X3)=24
64. 24 IS THE LEAST COMMON DENOMINATOR FOR 3/8;5/12
 SAMPLE #2  1/4;5/6 FIND LCD
12
GOOD,CONTINUE
$NOPE, THE CORRECT ANSWER WAS 12
DONCE I FIND THE LCD, I MUST CHANGE EACH FRACTION INTO A FRACTION
WITH THAT NEW DENOMINATOR.

EXAMPLE: 1/3 AND 1/4
   THE LCD IS 12
$   WE MUST CHANGE 1/4 INTO ?/12
>     TO DO THIS I DIVIDE THE ORIGINAL DENOMINATOR (4) INTO
>     THE LCD(12) GET (3) AND THEN MULTIPLY THIS ANSWER (3)
:     BY THE NUMERATOR WHICH GIVES A NEW NUMERATOR OF 3

EXAMPLE:1/4=?/12
     12/4=3
     3X1=3
     THUS 1/4=3/12

NOW YOU TRY THIS ONE
1/3=?/12  FIND "?"
4
GOOD, CONTINUE
*NO, 12/3=4       4X1=4     THUS "?"=4
LET'S TRY ANOTHER PROBLEM

5/6;4/9 FIND THE LCD
18
GOOD,CONTINUE
NO, THE LCD IS 18
8IF THE LCD IS 18, WHAT IS THE NEW NUMERATOR FOR 5/6?
15
GOOD, 5/6=15/18
:NO,  18/6=3    3X5=15    THUS THE NEW NUMERATOR IS 15
2IF THE LCD IS 18 THEN 4/9=?/18, WHAT IS "?" ?
8
GOOD, 4/9=8/18
NO, 4/9=8/18
NOW LET'S TRY SOME
*FIND THE LCD FOR EACH OF THE FOLLOWING
<THEN CHANGE EACH FRACTION TO AN EQUIVALENT FRACTION WITH
6   THE LCD AS THE NEW DENOMINATOR OF EACH FRACTION

@IN OTHER WORDS, WE ARE COMBINING THE PREVIOUS TWO STEPS INTO
D   ONE PROBLEM AND YOUR ANSWER WILL BE WRITTEN AS TWO FRACTIONS
"EXAMPLE: 1/2;1/3  THE LCD IS 6
>                      THE EQUIVALENT FRACTIONS ARE 3/6;2/6
0THE ANSWER I WILL BE LOOKING FOR IS 3/6;2/6

>REMEMBER TO SEPARATE THE TWO FRACTIONS BY A SEMI-COLON (;)

PROBLEM #1;   1/4;1/8
2/8;1/8
GOOD, CONTINUE
NO, THE LCD IS 8
"THE CORRECT ANSWER WAS 2/8;1/8
	1/2;1/3
3/6;2/6
CONTINUE

NO, THE LCD IS 6
"THE CORRECT ANSWER WAS 3/6;2/6
1/6;3/4
2/12;9/12
CONTINUE
NO, THE LCD IS 12
$THE CORRECT ANSWER WAS 2/12;9/12
>SEE YOUR TEACHER FOR SOME HELP TELL HIM YOU ARE AT STEP 2
5/6;4/9
15/18;8/18
CONTINUE
NO, THE LCD IS 18
&THE CORRECT ANSWER WAS 15/18;8/18
2/3;1/4
8/12;3/12
CONTINUE
NO, THE LCD IS 12
$THE CORRECT ANSWER WAS 8/12;3/12
>SEE YOUR TEACHER FOR SOME HELP TELL HIM YOU ARE AT STEP 2
4/5;3/10
8/10;3/10
CONTINUE PROGRAM
ADFRC4NO, THE LCD IS 10
$THE CORRECT ANSWER WAS 8/10;3/10
5/6;1/2
5/6;3/6
CONTINUE
NO, THE LCD IS 6
"THE CORRECT ANSWER WAS 5/6;3/6
>SEE YOUR TEACHER FOR SOME HELP, TELL HIM YOU ARE AT STEP 2
3/8;1/12
9/24;2/24
CONTINUE PROGRAM
ADFRC4NO,THE LCD IS 24
$THE CORRECT ANSWER WAS 9/24;2/24
>SEE YOUR TEACHER FOR SOME HELP TELL HIM YOU ARE AT STEP 2
4/5;3/10
8/10;3/10
CONTINUE PROGRAM
ADFRC4NO, THE LCD IS 10
$THE CORRECT ANSWER WAS 8/10;3/10
5/6;1/2
5/6;3/6
CONTINUE
NO, THE LCD IS 6
"THE CORRECT ANSWER WAS 5/6;3/6
>SEE YOUR TEACHER FOR SOME HELP, TELL HIM YOU ARE AT STEP 2
3/8;1/12
9/24;2/24
CONTINUE PROGRAM
ADFRC4NO,T