Question

Riley, Morgan, and Reggie were making plans for a mural on the side of their local community center. They needed to clean and seal the wall before painting the mural. Riley agreed to prepare 1/2 of the area, Morgan agreed to clean and seal 1/3 of the area, and Reggie agreed to finish the work on the remaining 1/6 of the area. A few days later, none of them had completed the whole section each had committed to clean and seal. Riley had completed 1/3 of his part. Morgan had completed 5/6 of her part. Reggie had completed 2/3 of his part.

What fraction of the total mural area remains to be cleaned and sealed?
a) 1/3
b) 1/6
c) 1/9
d) 2/3

Answer 1

To find the fraction of the total mural area that remains to be cleaned and sealed, we add up the fractions completed by each person and subtract it from the total area. In this case, the remaining fraction is 0, meaning there is no area left to be cleaned and sealed.

Step-by-step explanation:

To calculate the fraction of the total mural area that remains to be cleaned and sealed, we need to find the sum of the fractions completed by each person (Riley, Morgan, and Reggie) and subtract it from the total area. Riley completed 1/3, Morgan completed 5/6, and Reggie completed 2/3 of their respective parts. To add these fractions, we need a common denominator, which in this case is 6. So, Riley completed 2/6, Morgan completed 5/6, and Reggie completed 4/6. Adding these fractions gives us a total of 11/6. To find the fraction that remains to be cleaned and sealed, we subtract 11/6 from 1 (the whole fraction). This gives us 6/6 - 11/6 = -5/6.

Since a negative fraction doesn't make sense in this context, we can conclude that there is 0 fraction of the total mural area remaining to be cleaned and sealed. Therefore, the correct answer is option d) 0.