Answer :

To find how many days are in [tex]\(\frac{5}{6}\)[/tex] of a year, let's follow these steps:

1. Identify the number of days in a full year:
- A typical non-leap year has 365 days.

2. Determine the fraction of the year:
- We are asked to find [tex]\(\frac{5}{6}\)[/tex] of a year.

3. Calculate the number of days:
- To find the number of days corresponding to [tex]\(\frac{5}{6}\)[/tex] of a year, multiply the number of days in a full year by [tex]\(\frac{5}{6}\)[/tex].

The steps are as follows:
[tex]\[ \text{Number of days in a year} \times \frac{5}{6} = 365 \times \frac{5}{6} \][/tex]

When you perform this multiplication:
[tex]\[ 365 \times \frac{5}{6} = 365 \times 0.83333333 \approx 304.1666666666667 \][/tex]

Therefore, the number of days in [tex]\(\frac{5}{6}\)[/tex] of a year is approximately [tex]\(304.1666666666667\)[/tex] days.