solve these fraction in order of size start with the smallest 5/8 1/2 2/5/ 4/7

To order the fractions \( \frac{5}{8}, \frac{1}{2}, \frac{2}{5}, \frac{4}{7} \) from smallest to largest, we first convert each fraction to a common denominator or compare their decimal equivalents.

1. **Convert to decimals:**
   - \( \frac{5}{8} = 0.625 \)
   - \( \frac{1}{2} = 0.5 \)
   - \( \frac{2}{5} = 0.4 \)
   - \( \frac{4}{7} \approx 0.5714 \)

2. **Ordering the decimal values:**
   - \( 0.4 \) (which is \( \frac{2}{5} \))
   - \( 0.5 \) (which is \( \frac{1}{2} \))
   - \( 0.5714 \) (which is \( \frac{4}{7} \))
   - \( 0.625 \) (which is \( \frac{5}{8} \))

Thus, the fractions in order from smallest to largest are:

1. \( \frac{2}{5} \)
2. \( \frac{1}{2} \)
3. \( \frac{4}{7} \)
4. \( \frac{5}{8} \)

### Summary of Ordered Fractions
1. \( \frac{2}{5} \)
2. \( \frac{1}{2} \)
3. \( \frac{4}{7} \)
4. \( \frac{5}{8} \)

Would you like further details or explanations on any part of this? Here are some related questions you might find interesting:

1. How do you convert a fraction to a decimal?
2. What is the method for finding a common denominator?
3. Can you explain how to compare fractions with different denominators?
4. What are the advantages of using decimals over fractions in calculations?
5. How do you simplify fractions before comparing them? 

**Tip:** Always convert to a common format (like decimals) for easy comparison of fractions!

Learn how to order the fractions 5/8, 1/2, 2/5, and 4/7 from smallest to largest by converting them to decimals. This guide includes step-by-step explanations and key concepts 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