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Solve the following problems.

1. Priya completed [tex] \frac{2}{5} [/tex] of a work, Megha completed [tex] \frac{1}{3} [/tex] of the work, and Sonal completed [tex] \frac{1}{10} [/tex] of the work. How much of the work is completed?

Sagot :

GinnyAnsweridn
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).
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