To determine the order of the fractions [tex]\(\frac{7}{8}\)[/tex], [tex]\(\frac{2}{3}\)[/tex], and [tex]\(\frac{3}{5}\)[/tex] from greatest to smallest, we can compare their values.
### Step-by-Step Solution:
1. Understanding the Fractions:
- [tex]\(\frac{7}{8}\)[/tex] is a fraction with a numerator of 7 and a denominator of 8.
- [tex]\(\frac{2}{3}\)[/tex] is a fraction with a numerator of 2 and a denominator of 3.
- [tex]\(\frac{3}{5}\)[/tex] is a fraction with a numerator of 3 and a denominator of 5.
2. Convert Fractions to Decimals (for easier comparison, if needed):
- [tex]\(\frac{7}{8} = 0.875\)[/tex]
- [tex]\(\frac{2}{3} \approx 0.6667\)[/tex]
- [tex]\(\frac{3}{5} = 0.6\)[/tex]
3. Compare the Fractions:
Clearly from the decimal values, we can see:
- [tex]\(0.875\)[/tex] (which is [tex]\(\frac{7}{8}\)[/tex]) is the largest.
- [tex]\(0.6667\)[/tex] (which is [tex]\(\frac{2}{3}\)[/tex]) is the second largest.
- [tex]\(0.6\)[/tex] (which is [tex]\(\frac{3}{5}\)[/tex]) is the smallest.
4. Order the Fractions from Greatest to Smallest:
So, the correct order from greatest to smallest is:
[tex]\[
\frac{7}{8}, \frac{2}{3}, \frac{3}{5}
\][/tex]
5. Match with Given Options:
Let us verify which option matches our order:
- First Option: [tex]\(\frac{2}{3}, \frac{3}{5}, \frac{7}{8}\)[/tex] — Incorrect.
- Second Option: [tex]\(\frac{7}{8}, \frac{2}{3}, \frac{3}{5}\)[/tex] — Correct.
- Third Option: [tex]\(\frac{3}{5}, \frac{2}{3}, \frac{7}{8}\)[/tex] — Incorrect.
- Fourth Option: [tex]\(\frac{3}{5}, \frac{7}{8}, \frac{2}{3}\)[/tex] — Incorrect.
Therefore, the correct choice is the second option: [tex]\(\frac{7}{8}, \frac{2}{3}, \frac{3}{5}\)[/tex].
So the answer is:
[tex]\[
\boxed{2}
\][/tex]
