How much of a rectangle is shaded that contains 16 squares that have been divided into thirds? 40 of the 48 thirds are shaded.

Let's break down the problem:

1. You have a rectangle containing **16 squares**.
2. Each square is divided into **3 equal parts** (thirds).
3. The total number of parts (thirds) in the rectangle is:
   \[
   16 \, \text{squares} \times 3 \, \text{thirds per square} = 48 \, \text{thirds}
   \]
4. You are told that **40 of these 48 thirds are shaded**.

To find what portion of the rectangle is shaded, you need to calculate the ratio of the shaded area to the total area:
\[
\frac{40 \, \text{thirds shaded}}{48 \, \text{total thirds}} = \frac{40}{48}
\]

Now simplify the fraction:
\[
\frac{40}{48} = \frac{5}{6}
\]

Thus, **\(\frac{5}{6}\)** of the rectangle is shaded.

Would you like further clarification, or do you have any questions?

Here are 5 related questions to explore further:
1. How do you calculate the area of a rectangle if dimensions are given?
2. If only half of the squares were divided into thirds, how would that affect the shading?
3. How can we convert fractions into percentages to describe the shaded portion?
4. What would be the area of the shaded region if the total area of the rectangle was 24 square units?
5. How do you find the fraction of a shape shaded when multiple divisions exist?

**Tip:** When simplifying fractions, always look for the greatest common divisor (GCD) of the numerator and denominator to reduce the fraction efficiently.

Learn how to calculate the shaded portion of a rectangle divided into 16 squares, where each square is split into thirds and 40 of the 48 parts are shaded. This step-by-step guide explores fractions and ratios, suitable for Grades 4-6.

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