https://file.aiquickdraw.com/mathbot/file/1727274259441kum1rbca.jpg

The image contains two sections of mathematical exercises. The first part explains a visual concept related to fractions and rectangles, while the second part focuses on assessment problems involving fractions.

### 1. Explanation of the First Section:
- **Instruction**: "Now, shade \( \frac{2}{3} \) of the rectangle vertically."
    - The rectangle is divided into smaller squares (likely a grid of 3 by 5 = 15 squares).
    - You are asked to shade \( \frac{2}{3} \) of the total area.
    - Count the shaded squares: it’s divided into \( 6 \) parts out of 15 (this calculation follows from shading \( \frac{2}{3} \) vertically).
    - The result simplifies as \( \frac{2}{3} \times \frac{5}{5} = \frac{6}{15} \).

The problem also asks to find more products using the same multiplication of fractions.

### 2. The Assessment Section:
The second part provides practice problems related to fractions:

1. **Identify proper, improper, and mixed fractions**:
   - (a) \( \frac{7}{2} \) (improper)
   - (b) \( \frac{9}{11} \) (proper)
   - (c) \( \frac{13}{8} \) (improper)
   - (d) \( 2 \frac{1}{5} \) (mixed)
   - (e) \( \frac{8}{3} \) (improper)
   - (f) \( 2 \frac{15}{11} \) (mixed)
   
2. **Add the fractions**:
   - (a) \( \frac{7}{8} + \frac{3}{8} \)
   - (b) \( \frac{1}{8} + \frac{4}{7} \)
   - (c) \( \frac{2}{5} + \frac{5}{6} \)
   - (d) \( \frac{1}{8} + 3 \frac{5}{7} \)

3. **Subtract the fractions**:
   - (a) \( \frac{3}{4} - \frac{2}{3} \)
   - (b) \( \frac{18}{21} - \frac{3}{10} \)
   - (c) \( \frac{5}{8} - \frac{2}{5} \)
   - (d) \( \frac{9 \frac{11}{18}} - \frac{5}{12} \)

Would you like detailed solutions for any of these exercises or further clarification on any part?

### 5 Related Questions:
1. How do you convert an improper fraction to a mixed fraction?
2. What is the method to simplify fractions?
3. How can you find the least common denominator (LCD) for adding fractions?
4. How do you multiply fractions with different denominators?
5. What is the process for subtracting mixed fractions?

### Tip:
When adding or subtracting fractions, always make sure they have the same denominator by finding the least common multiple (LCM).

Now, shade 2/3 of the rectangle vertically. Count the number of double-shaded squares. Clearly, it is 6 parts out of 15 or 6/15.

Learn how to visually represent fractions by shading 2/3 of a rectangle and multiplying fractions. This example explains how to calculate 2/3 of the rectangle's area and simplify the result to 6/15. Suitable for students in Grades 4-6.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation