To determine the total work completed by Priya, Megha, and Sonal, we need to add the fractions of work that each person completed.
1. Priya completed [tex]\(\frac{2}{5}\)[/tex] of the work.
2. Megha completed [tex]\(\frac{1}{3}\)[/tex] of the work.
3. Sonal completed [tex]\(\frac{1}{10}\)[/tex] of the work.
First, let’s convert each fraction to its decimal form for easier addition:
- [tex]\(\frac{2}{5} = 0.4\)[/tex]
- [tex]\(\frac{1}{3} \approx 0.3333\)[/tex] (rounded to four decimal places for simplicity)
- [tex]\(\frac{1}{10} = 0.1\)[/tex]
Now, we will add these decimal values together to find the total work completed:
[tex]\[ 0.4 + 0.3333 + 0.1 = 0.8333 \][/tex]
Thus, the total fraction of the work that has been completed by Priya, Megha, and Sonal together is approximately [tex]\(0.8333\)[/tex] or exactly [tex]\( \frac{5}{6}\)[/tex] when converted back to fraction form.
Therefore, the total work completed is [tex]\(0.8333\)[/tex] (or [tex]\(\frac{5}{6}\)[/tex] in fraction form).
