Answer:
[tex]\large\boxed{5\dfrac{1}{5}\ decimeters=52\ centimeters}[/tex]
Step-by-step explanation:
[tex]1\ dm=10\ cm\qquad\text{(1 decimeters = 10 centimeters)}\\\\\text{Therefore}\\\\5\dfrac{1}{5}\ dm=\dfrac{5\cdot5+1}{5}\ dm=\dfrac{26}{5}\ dm=\dfrac{26}{5}\cdot10\ cm=\dfrac{260}{5}\ cm=52\ cm[/tex]
