Given:
Mark had [tex]\dfrac{3}{2}[/tex] cans of paint and used [tex]\dfrac{1}{2}[/tex] can for his room.
To find:
The fraction of the paint did he use.
Solution:
Total paint = [tex]\dfrac{3}{2}[/tex] cans
Paint used = [tex]\dfrac{1}{2}[/tex] can
The fraction of the paint did he use is:
[tex]\text{Required fraction}=\dfrac{\text{Paint used}}{\text{Total paint}}[/tex]
[tex]\text{Required fraction}=\dfrac{\dfrac{1}{2}}{\dfrac{3}{2}}[/tex]
[tex]\text{Required fraction}=\dfrac{1}{3}[/tex]
Therefore, Mark use [tex]\dfrac{1}{3}[/tex] of the paint.