To find the remaining ratio of orange beads, we first note the given ratios for blue and yellow beads:
- Blue beads: \( \frac{3}{10} \)
- Yellow beads: \( \frac{1}{10} \)
To find the total ratio accounted for by blue and yellow beads, we add these two fractions:
\[ \frac{3}{10} + \frac{1}{10} = \frac{4}{10} \]
This fraction simplifies to \( \frac{2}{5} \).
Now, since the total must equal 1 (or 10/10), we determine the remaining fraction for the orange beads:
\[ 1 - \frac{4}{10} = \frac{10}{10} - \frac{4}{10} = \frac{6}{10} \]
This fraction simplifies to \( \frac{3}{5} \).
Thus, the remaining ratio of orange beads for each bracelet is:
\[ \frac{3}{5} \]
In summary, the ratio of orange beads is \( \frac{3}{5} \).