Certainly! Let's break down the problem step-by-step to determine how much work Mohit has to do tomorrow to complete the remaining work.
1. Work Done Yesterday:
Mohit completed [tex]\(\frac{2}{6}\)[/tex] of the work yesterday.
2. Work Done Today:
Mohit completed another [tex]\(\frac{2}{6}\)[/tex] of the work today.
3. Total Work Done So Far:
To find the total amount of work Mohit has done over the two days, we add the fractions of work done on each day:
[tex]\[
\text{Total work done so far} = \frac{2}{6} + \frac{2}{6}
\][/tex]
Both fractions have the same denominator, so we can simply add their numerators:
[tex]\[
\frac{2 + 2}{6} = \frac{4}{6}
\][/tex]
Simplifying [tex]\(\frac{4}{6}\)[/tex] gives us [tex]\(\frac{2}{3}\)[/tex].
4. Remaining Work to be Done:
The total work to be done is considered as 1 (or 100%). To find out how much work remains, we subtract the total work done so far from 1:
[tex]\[
\text{Remaining work} = 1 - \frac{2}{3}
\][/tex]
To perform this subtraction, we need a common denominator. Since 1 can be written as [tex]\(\frac{3}{3}\)[/tex], the subtraction becomes:
[tex]\[
1 - \frac{2}{3} = \frac{3}{3} - \frac{2}{3} = \frac{3-2}{3} = \frac{1}{3}
\][/tex]
Therefore, Mohit has [tex]\(\frac{1}{3}\)[/tex] of the work left to do tomorrow in order to complete the remaining work.
