### Home > MC1 > Chapter 6 > Lesson 6.1.4 > Problem6-42

6-42.

Ashley painted $\frac { 1 } { 2 }$of her bathroom ceiling. Alex painted $\frac { 1 } { 4 }$of the ceiling in the school library.

1. Who painted the larger fraction of their ceiling?

2. If the drawings above accurately represent the relationship between the ceiling sizes, who painted more ceiling area?

3. Explain why the answers for parts (a) and (b) should be different.

Use your imagination and think of the ceilings as being the same size.
If Ashley and Alex still painted the same fractions, which area painted would be bigger?

Two-fourths are equal to one-half. Can you use this information to help with this problem?

Ashley painted the larger fraction.

The area of something is the space inside of any given shape.
By looking at the drawing, can you tell if Ashely or Alex painted a larger rectangle?

Alex painted the larger area.

It is important to remember what the whole for each fraction is.
Since the ceilings are different sizes, the portions alone do not tell us who painted a larger area.