Question

build and shade 4/7 of the unit square. there are fractions 1/2, 1/3, 1/5, 1/7, 1/11 on the left, and a drop zone with a unit square labeled 1 on the right.

Explanation:

Step1: Identify required fraction

The task is to represent $\frac{4}{7}$ of a unit square. First, we need to divide the unit square into 7 equal parts, which requires the fraction tile $\frac{1}{7}$.

Step2: Select and place the tile

Take the $\frac{1}{7}$ tile and place it in the drop zone, repeating this 4 times to make $\frac{1}{7} + \frac{1}{7} + \frac{1}{7} + \frac{1}{7} = \frac{4}{7}$.

Step3: Shade the combined area

Shade the area covered by the 4 $\frac{1}{7}$ tiles, which equals $\frac{4}{7}$ of the unit square.

Answer:

1. Drag the $\frac{1}{7}$ tile to the drop zone 4 times.
2. Shade the area occupied by these 4 $\frac{1}{7}$ tiles, which represents $\frac{4}{7}$ of the unit square.