Question

Arrange in decreasing order
2/5,3/10,11/10 on number line

Answer 1

To arrange the fractions \( \frac{2}{5}, \frac{3}{10}, \frac{11}{10} \) in decreasing order, we need to compare their values.

Let's convert them to have a common denominator for easier comparison. The least common multiple of the denominators 5 and 10 is 10.

1. Convert \( \frac{2}{5} \) to a fraction with a denominator of 10:
\[
\frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10}
\]

2. The fraction \( \frac{3}{10} \) is already with a denominator of 10.

3. The fraction \( \frac{11}{10} \) is also with a denominator of 10.

Now we have:
- \( \frac{2}{5} = \frac{4}{10} \)
- \( \frac{3}{10} \)
- \( \frac{11}{10} \)

Now we can compare:
- \( \frac{11}{10} > \frac{4}{10} > \frac{3}{10} \)

Thus, in decreasing order, the fractions are:
\[
\frac{11}{10}, \frac{2}{5}, \frac{3}{10}
\]