To determine which ratio is equivalent to \( \frac{4}{5} \), we can simplify or compare the given options:
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\( \frac{8}{10} \): \[ \frac{8}{10} = \frac{4 \div 2}{5 \div 2} = \frac{4}{5} \] This fraction is equivalent.
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\( \frac{6}{10} \): \[ \frac{6}{10} = \frac{3 \div 2}{5 \div 2} \neq \frac{4}{5} \] This fraction is not equivalent.
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\( \frac{4}{10} \): \[ \frac{4}{10} = \frac{2 \div 2}{5 \div 2} \neq \frac{4}{5} \] This fraction is not equivalent.
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\( \frac{8}{15} \): This fraction can't be simplified to \( \frac{4}{5} \) and is not equivalent.
Thus, the ratio that is equivalent to \( \frac{4}{5} \) is \( \frac{8}{10} \).