Answer:
18
Step-by-step explanation:
The given fractions are:
[tex]\frac{4}{9},\frac{2}{3} ,\frac{1}{6},-2\frac{1}{2}[/tex]
We can change the mixed number to a proper fraction to get;
[tex]\frac{4}{9},\frac{2}{3} ,\frac{1}{6},-\frac{5}{2}[/tex]
Janessa needs to find the least common multiple of the denominators.
The denominators are; [tex]9,3,6,2[/tex]
We can express each of the denominators as product of primes.
[tex]9=3^2[/tex]
[tex]3=3[/tex]
[tex]6=2\times3[/tex]
[tex]2=2[/tex]
The least common multiple of these numbers is the product of the highest powers common to all the numbers.
The LCD is [tex]2\times3^2=18[/tex]
