To sort the fractions in ascending numerical order, it's helpful to convert them to a common denominator or to convert them into decimal form. Here’s the conversion to decimal for each fraction:
- \( \frac{3}{10} = 0.3 \)
- \( \frac{3}{8} = 0.375 \)
- \( \frac{2}{5} = 0.4 \)
- \( \frac{1}{4} = 0.25 \)
- \( \frac{3}{6} = 0.5 \)
Now, arranging the decimals in ascending order:
- \( 0.25 \) (which is \( \frac{1}{4} \))
- \( 0.3 \) (which is \( \frac{3}{10} \))
- \( 0.375 \) (which is \( \frac{3}{8} \))
- \( 0.4 \) (which is \( \frac{2}{5} \))
- \( 0.5 \) (which is \( \frac{3}{6} \))
Putting the fractions back in order, we get:
- \( \frac{1}{4} \)
- \( \frac{3}{10} \)
- \( \frac{3}{8} \)
- \( \frac{2}{5} \)
- \( \frac{3}{6} \)
Therefore, the ascending order of the fractions is:
\( \frac{1}{4}, \frac{3}{10}, \frac{3}{8}, \frac{2}{5}, \frac{3}{6} \).