To determine which ratios are less than \( \frac{8}{10} \), we can simplify \( \frac{8}{10} \) to \( \frac{4}{5} \).
Now, we will convert the given ratios \( \frac{3}{5} \) and \( \frac{13}{15} \) into their decimal forms to compare them.
-
For \( \frac{3}{5} \): \[ \frac{3}{5} = 0.6 \]
-
For \( \frac{13}{15} \): \[ \frac{13}{15} \approx 0.8667 \]
Now, we compare these values to \( 0.8 \) (which is the decimal equivalent of \( \frac{4}{5} \)):
- \( 0.6 < 0.8 \) (so \( \frac{3}{5} < \frac{8}{10} \))
- \( 0.8667 > 0.8 \) (so \( \frac{13}{15} > \frac{8}{10} \))
Thus, the only ratio that is less than \( \frac{8}{10} \) is \( \frac{3}{5} \).
In summary, the answer is:
- \( 3:5 \) is less than \( 8:10 \)
- \( 13:15 \) is not less than \( 8:10 \)