Question

Arrange in decreasing order
2/3,2/7,5/6
2/5,1/4,2/3

Answer 1

To arrange the fractions \( \frac{2}{3} \), \( \frac{2}{7} \), \( \frac{5}{6} \), \( \frac{2}{5} \), and \( \frac{1}{4} \) in decreasing order, we can compare them by converting them to decimal form or finding a common denominator.

Here are the decimal equivalents:

- \( \frac{2}{3} \approx 0.6667 \)
- \( \frac{2}{7} \approx 0.2857 \)
- \( \frac{5}{6} \approx 0.8333 \)
- \( \frac{2}{5} = 0.4 \)
- \( \frac{1}{4} = 0.25 \)

Now, let's list them in decreasing order:

1. \( \frac{5}{6} \approx 0.8333 \)
2. \( \frac{2}{3} \approx 0.6667 \)
3. \( \frac{2}{5} = 0.4 \)
4. \( \frac{2}{7} \approx 0.2857 \)
5. \( \frac{1}{4} = 0.25 \)

Thus, in decreasing order, the fractions are:

\[
\frac{5}{6}, \frac{2}{3}, \frac{2}{5}, \frac{2}{7}, \frac{1}{4}
\]