Answer:
[tex]\frac{5}{6}[/tex] part of the whole bag of chips he will eat in total.
Step-by-step explanation:
Given:
Part of chips eaten today = 2/3
Part of chips to be eaten tomorrow = 1/2 of the left over.
Now, considering the whole part be 1.
So, part left over = [tex]1-\frac{2}{3}=\frac{3-2}{3}=\frac{1}{3}[/tex]
Now, part of chips to be eaten tomorrow = [tex]\frac{1}{2}\times \frac{1}{3}=\frac{1}{6}[/tex]
Now, total part eaten is the sum of parts eaten today and tomorrow. So,
Total part eaten = [tex]\frac{2}{3}+\frac{1}{6}[/tex]
Adding by making the denominator same, we have
Total part eaten = [tex]\frac{2\times 2}{3\times 2}+\frac{1}{6}[/tex]
Total part eaten = [tex]\frac{4}{6}+\frac{1}{6}[/tex]
Total part eaten = [tex]\frac{4+1}{6}=\frac{5}{6}[/tex]
Therefore, [tex]\frac{5}{6}[/tex] part of the whole bag of chips he will eat in total.
