IDNLearn.com is your trusted platform for finding reliable answers. Join our community to receive timely and reliable responses to your questions from knowledgeable professionals.
Sagot :
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.
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.
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. IDNLearn.com is committed to your satisfaction. Thank you for visiting, and see you next time for more helpful answers.