Question

Keep the original form of each item and identify the ascending numerical order of these fractions and decimals.
0.222, 0.225, 1/4, 1/5, 1/32

Answer 1

To compare the fractions and decimals, we need to convert everything into a common form, preferably decimals.

Let's convert the fractions:

- \( \frac{1}{4} = 0.25 \)
- \( \frac{1}{5} = 0.2 \)
- \( \frac{1}{32} = 0.03125 \)

Now we can list all the numbers in decimal form:

- \( 0.222 \)
- \( 0.225 \)
- \( 0.25 \) (from \( \frac{1}{4} \))
- \( 0.2 \) (from \( \frac{1}{5} \))
- \( 0.03125 \) (from \( \frac{1}{32} \))

Now, we can arrange them in ascending order:

1. \( 0.03125 \) (from \( \frac{1}{32} \))
2. \( 0.2 \) (from \( \frac{1}{5} \))
3. \( 0.222 \)
4. \( 0.225 \)
5. \( 0.25 \) (from \( \frac{1}{4} \))

So the ascending order of the original items is:

\[ \frac{1}{32}, \frac{1}{5}, 0.222, 0.225, \frac{1}{4} \]