The time budget for the project is 5 1/3 hours.
If the research time is 1/4 of the complete hours, we can calculate the time by multiplying the total time by 1/4.
Therefore, we have:
[tex]\frac{1}{4}\times5\frac{1}{3}[/tex]
We need to change all the numbers to improper fractions before we can multiply:
[tex]5\frac{1}{3}=\frac{16}{3}[/tex]
Therefore, we can multiply to be:
[tex]\Rightarrow\frac{1}{4}\times\frac{16}{3}=\frac{4}{3}[/tex]
As a mixed number, the hours will thus be:
[tex]\Rightarrow1\frac{1}{3}\text{ hours}[/tex]
Hence, the correct option is the LAST OPTION.
