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$$2 What fraction of the days in March are Mondays, Tuesdays, and Wednesdays?$

\$\(2\) What fraction of the days in March are Mondays, Tuesdays, and Wednesdays?

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Q. \$\(2\) What fraction of the days in March are Mondays, Tuesdays, and Wednesdays?

Determine Total Days in March: First, we need to determine the total number of days in March. March has $31$ days.
Find Weekday Distribution: Next, we need to find out how many Mondays, Tuesdays, and Wednesdays are in March. Since March has $31$ days, and a week has $7$ days, we can divide $31$ by $7$ to find out how many complete weeks are in March. $31 \div 7 = 4$ weeks with $3$ days remaining.
Calculate Remaining Days: Each complete week has $1$ Monday, $1$ Tuesday, and $1$ Wednesday. So, for $4$ complete weeks, there are $4$ Mondays, $4$ Tuesdays, and $4$ Wednesdays. $\newline$ $4$ weeks $\times$ $3$ days (Monday, Tuesday, Wednesday) = $1$ $0$ days.
Calculate Fraction of Days: Now we need to determine what days of the week the remaining $3$ days are. $\newline$ Since we don't have the starting day of the week for March, we cannot determine the exact weekdays for these $3$ days without additional information. However, we can say that at most, each of the days Monday, Tuesday, and Wednesday can occur once more in the remaining days. $\newline$ So, in the worst-case scenario, we have $3$ additional days (Monday, Tuesday, Wednesday) to add to our total. $\newline$ $12$ days $+$ $3$ days $=$ $15$ days.
Calculate Fraction of Days: Now we need to determine what days of the week the remaining $3$ days are. $\newline$ Since we don't have the starting day of the week for March, we cannot determine the exact weekdays for these $3$ days without additional information. However, we can say that at most, each of the days Monday, Tuesday, and Wednesday can occur once more in the remaining days. $\newline$ So, in the worst-case scenario, we have $3$ additional days (Monday, Tuesday, Wednesday) to add to our total. $\newline$ $12$ days $+$ $3$ days $=$ $15$ days.Finally, we calculate the fraction of days that are Mondays, Tuesdays, and Wednesdays. $\newline$ The fraction will be the number of Mondays, Tuesdays, and Wednesdays divided by the total number of days in March. $\newline$ $15 \div 31 = \frac{15}{31}$ .

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