Respuesta :

Answer:

option D

Step-by-step explanation:

  • Convert the mixed fraction to improper fraction.
  • As denominators are different, find the LCM of denominators.
  • Find equivalent fractions using the LCM
  • Now subtract and then convert improper fraction to mixed fraction.

[tex]\sf 5\dfrac{3}{6}=\dfrac{33}{6}\\\\2\dfrac{1}{3}=\dfrac{7}{3}[/tex]

LCM of  6 , 3 = 6

[tex]\sf \dfrac{33}{6}-\dfrac{7}{3}=\dfrac{33}{6}-\dfrac{7*2}{3*2}\\[/tex]

           [tex]\sf =\dfrac{33}{6}-\dfrac{14}{6}\\\\=\dfrac{33-14}{6}\\\\= \dfrac{19*3}{6*3=\dfrac{57}{18}}\\\\=3\dfrac{3}{18}[/tex]