Given:
Total number of problems = 24
Michael completed [tex]\dfrac{1}{4}[/tex] of his homework in [tex]\dfrac{3}{4}[/tex] of an hour.
To find:
What fraction of his homework would he complete in one hour.
Solution:
We have,
Part of work done in [tex]\dfrac{3}{4}[/tex] of an hour [tex]=\dfrac{1}{4}[/tex]
Part of work done in an hour [tex]=\dfrac{4}{3}\times \dfrac{1}{4}[/tex]
[tex]=\dfrac{1}{3}[/tex]
Therefore, he complete [tex]\dfrac{1}{3}[/tex] of his homework in 1 hour. Hence, all options are incorrect.