https://file.aiquickdraw.com/mathbot/file/1726613863980jka4jemj.jpg

The question asks whether the shaded region in the two diagrams represents \(\frac{5}{3}\) or \(\frac{5}{6}\).

### Analysis:
- The left diagram shows a whole rectangle divided into 3 equal parts, with all 3 parts shaded. This represents a fraction of 3 out of 3 or \(\frac{3}{3} = 1\).
- The right diagram shows a rectangle divided into 3 equal parts (like the left one), but with only 2 parts of that shape shaded. This represents \(\frac{2}{3}\).

Together, the total shaded area in both diagrams is the shaded region from the left (\(1\)) plus the shaded region from the right (\(\frac{2}{3}\)).

### Adding the two shaded areas:
\[
1 + \frac{2}{3} = \frac{3}{3} + \frac{2}{3} = \frac{5}{3}
\]

### Conclusion:
The shaded region represents \(\frac{5}{3}\), not \(\frac{5}{6}\).

Do you need further details or have any questions?

---

Here are 5 related questions to expand on this concept:

1. How do you convert an improper fraction like \(\frac{5}{3}\) to a mixed number?
2. What is the difference between a proper fraction and an improper fraction?
3. How do you add two fractions with different denominators?
4. How can you represent the fraction \(\frac{5}{6}\) visually?
5. How do you find the least common denominator when adding fractions?

**Tip:** When adding fractions, always ensure the denominators are the same before performing the addition.

Does the shaded region represent 5/3 or 5/6? Explain.

This problem helps students visually interpret and determine if a shaded region represents 5/3 or 5/6. Key concepts include improper fractions, addition of fractions, and visual fraction models. Suitable for students in Grade 6-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation