Answer: [tex]348\dfrac{2}{3}[/tex] times.
Step-by-step explanation:
Given : One size vinyl record ur a at a speed of [tex]33\dfrac{1}{3}[/tex] revolutions per minute.
In improper fraction: [tex]33\dfrac{1}{3}=\dfrac{3(33)+1}{3}=\dfrac{100}{3}[/tex]
Duration of song = [tex]3\dfrac{1}{2}[/tex] minutes
In improper fraction: [tex]3\dfrac{1}{2}=\dfrac{3(2)+1}{2}=\dfrac{7}{2}[/tex]
The number of revolutions: Speed x Time
= [tex]\dfrac{100}{3}\times\dfrac{7}{2}=\dfrac{350}{3}=348\dfrac{2}{3}[/tex]
Hence, the record spin [tex]348\dfrac{2}{3}[/tex] times.
