Find Area With Fractional Sides Practice Test

A rectangle is $\tfrac{3}{4}$ meter by $\tfrac{2}{3}$ meter. It is tiled with unit fraction squares that are $\tfrac{1}{4}$ meter by $\tfrac{1}{3}$ meter, making 3 squares across and 2 squares down. One student says, “The area is $\tfrac{3}{4}+\tfrac{2}{3}=\tfrac{17}{12}$ square meter.” Which statement is the incorrect claim about the area based on the tiling and square units?

A rectangular sticker is $\tfrac{1}{2}$ inch by $\tfrac{3}{4}$ inch. Imagine partitioning it into unit fraction squares that are $\tfrac{1}{4}$ inch by $\tfrac{1}{4}$ inch. Counting those squares measures area in square inches, and multiplying the side lengths gives the same area as tiling. What is the area of the sticker?