We must find the common denominator.
LCM(6, 3) = 6
[tex]5\dfrac{1}{6}-1\dfrac{1}{3}=5\dfrac{1}{6}-1\dfrac{1\cdot2}{3\cdot2}=5\dfrac{1}{6}-1\dfrac{2}{6}=(5-1)+\left(\dfrac{1}{6}-\dfrac{2}{6}\right)=4-\dfrac{1}{6}=3\dfrac{5}{6}[/tex]
or other method of calculating the difference
[tex]5\dfrac{1}{6}-1\dfrac{2}{6}=4\dfrac{6+1}{6}-1\dfrac{2}{6}=4\dfrac{7}{6}-1\dfrac{2}{6}=(4-1)+\left(\dfrac{7}{6}-\dfrac{2}{6}\right)=3\dfrac{5}{6}[/tex]
