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