Question

\\\frac{\box}{4}\\
\\\frac{\box}{5}\\
\\\frac{4}{5}\\
\\\frac{\box}{\box}\\

Explanation:

Analyze the first model

The first model shows a grid partitioned into columns and rows.
Using Fraction Models, we count the total columns and shaded columns:

• There are \(4\) columns shaded out of \(5\) total columns, representing the fraction \(\frac{4}{5}\).
• The top bracket shows \(\frac{\text{blank}}{4}\), which represents the fraction of rows or columns.
• The bottom fraction box is filled in as \(\frac{4}{5}\), representing the shaded portion of the columns.

Analyze the second model

Using Partitioning Shapes, we examine the second grid:

• The grid is divided vertically into columns.
• There are \(3\) shaded columns out of \(5\) total columns.
• The top bracket indicates a fraction with a denominator of \(5\), representing the columns: \(\frac{3}{5}\).
• The bottom fraction box represents the shaded portion of this model.
• Since \(3\) out of \(5\) columns are shaded, the fraction is \(\frac{3}{5}\).

Answer:

The fraction represented by the second model is <blank>\(\frac{3}{5}\)</blank>.