Question

Question
Identify the ascending numerical order of these fractions: 310
, 38
, 25
, 14
, 36
.(2 points)
,
,
,
,

Answer 1

To order the fractions \( \frac{3}{10} \), \( \frac{3}{8} \), \( \frac{2}{5} \), \( \frac{1}{4} \), and \( \frac{3}{6} \) in ascending numerical order, we should convert them to a common denominator or decimal form to compare them easily.

1. Convert each fraction to decimal form:
- \( \frac{3}{10} = 0.3 \)
- \( \frac{3}{8} = 0.375 \)
- \( \frac{2}{5} = 0.4 \) (since \( \frac{2}{5} = \frac{4}{10} \))
- \( \frac{1}{4} = 0.25 \)
- \( \frac{3}{6} = 0.5 \)

2. Now list them with their decimal values:
- \( \frac{1}{4} \) = 0.25
- \( \frac{3}{10} \) = 0.3
- \( \frac{3}{8} \) = 0.375
- \( \frac{2}{5} \) = 0.4
- \( \frac{3}{6} \) = 0.5

3. Now we can order them in ascending order:
- \( \frac{1}{4} \) (0.25)
- \( \frac{3}{10} \) (0.3)
- \( \frac{3}{8} \) (0.375)
- \( \frac{2}{5} \) (0.4)
- \( \frac{3}{6} \) (0.5)

So, the ascending numerical order of the fractions is:
\[ \frac{1}{4}, \frac{3}{10}, \frac{3}{8}, \frac{2}{5}, \frac{3}{6} \]