Janessa wants to order these fractions: 4/9, 2/3, 1/6, -2 1/2. What should she use as her common denominator?

Answer:18Step-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]