Arrange the fractions 8/5, 7/2, 9/5, 5/4, 4/5 in descending order of magnitude, which one will be third

To arrange the fractions \( \frac{8}{5}, \frac{7}{2}, \frac{9}{5}, \frac{5}{4}, \frac{4}{5} \) in descending order, we first convert each fraction to its decimal form for easier comparison:

1. \( \frac{8}{5} = 1.6 \)
2. \( \frac{7}{2} = 3.5 \)
3. \( \frac{9}{5} = 1.8 \)
4. \( \frac{5}{4} = 1.25 \)
5. \( \frac{4}{5} = 0.8 \)

Now, let's arrange these decimal values in descending order:

\[
3.5, 1.8, 1.6, 1.25, 0.8
\]

Corresponding to their fractions, the order is:

\[
\frac{7}{2}, \frac{9}{5}, \frac{8}{5}, \frac{5}{4}, \frac{4}{5}
\]

Thus, the third fraction in descending order is:

\[
\boxed{\frac{8}{5}}
\]

Would you like any further details or have questions? Here are some related questions for you to consider:

1. How do you convert fractions to decimals quickly?
2. What is the process to compare fractions without converting to decimals?
3. How can you arrange fractions by finding a common denominator?
4. What are some tips for comparing improper fractions?
5. How do you find the least common multiple (LCM) of denominators?

**Tip:** When comparing fractions, converting them to decimals is a quick way to determine their order without extensive calculations!

Learn how to arrange fractions 8/5, 7/2, 9/5, 5/4, 4/5 in descending order of magnitude. Understand the process of converting fractions to decimals for comparison. Suitable for students in Grades 5-6.

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