Given the fractions:
[tex]\frac{11}{12}\text{and}\frac{5}{9}[/tex]
Let's find the least common denominator of both fractions.
Here, the denominators are: 12 and 9
To find the LCD, let's find the prime factorization of both denominators:
• Prime factorization of 12 = ,2 x 2 x 3
,
• Prime factorization of 9 = ,3 x 3
Now, let's multiply each factor with the greatest number of times it occured in either 12 or 9:
2 x 2 x 3 x 3 = 36
Therefore, the lowest common denominator is 36.
ANSWER:
36
