Example of Least Common Denominator:
Example:
Add 1/7 +2 /3 + 11/12 + 4/6
Solution:
Step 1: Find out primes of each denominator.
7 = 7 (already is a prime number)
3 = 3 (already is a prime number)
12 = 2 x 6 = 2 x 2 x 3
6 = 2 x 3
Step 2: 12 is the largest, so begin with
2 x 2 x 3
Comparing this list to another list, the denominators of 3, 12, and 6 could all be calculated from the list, but 7 cannot be, so a 7 must be involved in the list.
2 x 2 x 3 x 7 = 84
Step 3: Rewrite the equation
1/7 . 12/12 + 2/3 . 28/ 28 + 11/ 12 . 7/7 + 4/6 . 14/14 =
Step 4: Add
12/84 + 56/84 + 77/84 + 56/84 = 201 /84