To determine which ratios are less than 8:10, we can convert each ratio to a fraction and compare them.
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3:5
This can be represented as the fraction \( \frac{3}{5} \). -
13:15
This can be represented as the fraction \( \frac{13}{15} \).
Now, we need to compare these fractions to \( \frac{8}{10} \), which simplifies to \( \frac{4}{5} \).
Next, we can convert all fractions to a common denominator or compare their decimal values.
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Convert \( \frac{3}{5} \): \[ \frac{3}{5} = 0.6 \]
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Convert \( \frac{13}{15} \): \[ \frac{13}{15} \approx 0.8667 \]
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Convert \( \frac{4}{5} \): \[ \frac{4}{5} = 0.8 \]
Now we compare:
- \( 0.6 < 0.8 \) (so \( 3:5 \) is less than \( 8:10 \))
- \( 0.8667 > 0.8 \) (so \( 13:15 \) is not less than \( 8:10 \))
Thus, the only ratio that is less than 8:10 is 3:5.